# Valliar

Max@Math Revolution posted a new topic called When f(x)=x^3+1/x3, which of the following is equal to f(-1/ in the Problem Solving forum
“[GMAT math practice question] When f(x)=x^3+1/x3, which of the following is equal to f(-1/x)? A. f(x) B. -f(x) C. 1/f(x) D. 1-f(x) E. (f(x))^3”
Yesterday
Max@Math Revolution posted a new topic called m, n and 2/m+3/n are positive integers. What is the value of in the Data Sufficiency forum
“[GMAT math practice question] m, n and 2/m+3/n are positive integers. What is the value of mn? 1) m and n are prime numbers 2) The greatest common divisor of m and n is 1”
Yesterday
Max@Math Revolution posted a reply to Express 2^20-2^19-2^18-2^17 as a power of 2. in the Problem Solving forum
“=> 2^20-2^19-2^18-2^17 =2^32^17- 2^22^17-2^12^17-2^17 = 2^17 (8-4-2-1) = 2^17(1) = 2^17 Therefore, the answer is C. Answer: C ”
Yesterday
Max@Math Revolution posted a reply to What is the smallest positive integer n such that n / 420 ca in the Problem Solving forum
“=> n / 420 = n / {2^2*3^1*5^1*7^1} The fraction will only be a terminating decimal if both 3 and 7 can be canceled out. Thus, the smallest possible value of n is 3*7 = 21. Therefore, the answer is B. Answer: B”
Yesterday
Max@Math Revolution posted a reply to If m and n are prime numbers, what is the value of m+n? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
Yesterday
Max@Math Revolution posted a reply to If m and n are positive integers, is m+n divisible by 15? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
Yesterday
Max@Math Revolution posted a new topic called Express 2^20-2^19-2^18-2^17 as a power of 2. in the Problem Solving forum
“[GMAT math practice question] Express 2^20-2^19-2^18-2^17 as a power of 2. A. 2^15 B. 2^16 C. 2^17 D. 2^18 E. 2^19”
March 22, 2019
Max@Math Revolution posted a reply to Jeonghee has 5 different red cards and 5 different blue card in the Problem Solving forum
“=> The total number of ways in which 5 cards can be chosen out of 10 cards is 10P5 = 10*9*8*7*6. There are 5*4*3*2*1 arrangements of each of BBBBB and RRRRR. There are 5*4*3*2*5 arrangements of each of BBBBR, RBBBB, RRRRB and BRRRR. There are 5*4*3*5*4 arrangements of each of BBBRR, ...”
March 22, 2019
Max@Math Revolution posted a new topic called If m and n are prime numbers, what is the value of m+n? in the Data Sufficiency forum
“[GMAT math practice question] If m and n are prime numbers, what is the value of m+n? 1) 15 ≤ m < n ≤ 20 2) mn = 323”
March 22, 2019
Max@Math Revolution posted a reply to Is n an odd number? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
March 22, 2019
Max@Math Revolution posted a new topic called What is the smallest positive integer n such that n / 420 ca in the Problem Solving forum
“[GMAT math practice question] What is the smallest positive integer n such that n / 420 can be expressed as a terminating decimal? A. 18 B. 21 C. 24 D. 30 E. 42”
March 21, 2019
Max@Math Revolution posted a reply to The number 1000 lies between two consecutive perfect squares in the Problem Solving forum
“=> 31^2 = 961 32^2 = 1024 1024 is the perfect square closest to 1000. Therefore, D is the answer. Answer: D”
March 21, 2019
Max@Math Revolution posted a new topic called If m and n are positive integers, is m+n divisible by 15? in the Data Sufficiency forum
“[GMAT math practice question] If m and n are positive integers, is m+n divisible by 15? 1) m is divisible by 9 and n is divisible by 15. 2) mn is divisible by 225.”
March 21, 2019
Max@Math Revolution posted a reply to xy=? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
March 21, 2019
Max@Math Revolution posted a new topic called Jeonghee has 5 different red cards and 5 different blue card in the Problem Solving forum
“[GMAT math practice question] Jeonghee has 5 different red cards and 5 different blue cards. She shuffles the10 cards, and then places 5 of the cards in a row. What is the probability that all red cards are adjacent to each other and all blue cards are adjacent to each other in her row? A. 2/5 ...”
March 20, 2019
Max@Math Revolution posted a reply to A box contains 3 red balls, 4 green balls, 5 yellow balls, 6 in the Problem Solving forum
“=> The maximum number of draws we can make without drawing 5 balls of a single color is 3 + 4 + 4 + 4 + 4 = 14. This occurs when we draw 3 red balls, 4 green balls, 4 yellow balls, 4 blue balls and 4 white balls. If we draw one more ball, then we will have drawn 5 balls of a single color. ...”
March 20, 2019
Max@Math Revolution posted a new topic called Is n an odd number? in the Data Sufficiency forum
“[GMAT math practice question] Is n an odd number? 1) n and n+2 are prime numbers 2) n+5 is a multiple of 5”
March 20, 2019
Max@Math Revolution posted a reply to Is √15n an integer? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
March 20, 2019
Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum
“To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...”
March 20, 2019
Max@Math Revolution posted a new topic called The number 1000 lies between two consecutive perfect squares in the Problem Solving forum
“[GMAT math practice question] The number 1000 lies between two consecutive perfect squares. Which one of these square integers is closest to 1000? A. 29^2 B. 30^2 C. 31^2 D. 32^2 E. 33^2”
March 19, 2019
Max@Math Revolution posted a new topic called xy=? in the Data Sufficiency forum
“[GMAT math practice question] xy=? 1) (x-2)^2 = -|y-3| 2) |x-2| +√( y-3) =0”
March 19, 2019
Max@Math Revolution posted a new topic called A box contains 3 red balls, 4 green balls, 5 yellow balls, 6 in the Problem Solving forum
“[GMAT math practice question] A box contains 3 red balls, 4 green balls, 5 yellow balls, 6 blue balls and 7 white balls. What is the minimum number of balls that must be drawn from the box without replacement to guarantee that at least 5 balls of a single color will be drawn? A. 10 ...”
March 18, 2019
Max@Math Revolution posted a new topic called Is √15n an integer? in the Data Sufficiency forum
“[GMAT math practice question] 3.18 Is $$\sqrt{15n}$$ an integer? 1) n is a multiple of 3 2) n is the square of an integer”
March 18, 2019
Max@Math Revolution posted a reply to What is the value of 2(1-1/2) + 3(1-1/3) + … + 100(1 – 1 in the Problem Solving forum
“=> Note: This sum has 100 – 2 + 1 = 99 terms. 2(1-1/2) + 3(1-1/3) + … + 100(1 – 1/100) = (2 – 1) + (3 - 1) + … + (100 – 1) = 2 + 3 + … + 100 – ( 1 + 1 + … + 1 ) = ( 2 + 100 )99 / 2 – 99 = 51*99 – 99 = (51-1)*99 = 50*99 = 4950 Therefore, the answer is C. ...”
March 18, 2019
Max@Math Revolution posted a reply to If √x+√y=7 and √x-√y=5, what is the value of xy? in the Problem Solving forum
“=> Adding the two equations yields 2√x = 12, so x = 36. Subtracting the two equations yields 2√y = 2, so y = 1. Therefore, xy = 36. Therefore, the answer is C. Answer: C”
March 18, 2019
Max@Math Revolution posted a reply to The point (p,q) lies in which quadrant of the x-y plane? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
March 18, 2019
Max@Math Revolution posted a reply to If f(x)=ax^2+bx+c, where a, b and c are integers, is b=0? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
March 18, 2019
Max@Math Revolution posted a new topic called What is the value of 2(1-1/2) + 3(1-1/3) + … + 100(1 – 1/100 in the Problem Solving forum
“[GMAT math practice question] What is the value of 2(1-1/2) + 3(1-1/3) + … + 100(1 – 1/100)? A. 3600 B. 4800 C. 4950 D. 5000 E. 5050”
March 15, 2019
Max@Math Revolution posted a reply to If n, n/3 and n/4 are positive integers, and n is less than in the Problem Solving forum
“=> The condition n/3 is a positive integer tells us that n is a positive multiple of 3. The condition n/4 is a positive integer tells us that n is a positive multiple of 4. Thus, n is a positive multiple of 12. The number of positive multiples of 12 less than or equal to 100 is 8 since ...”
March 15, 2019
Max@Math Revolution posted a new topic called The point (p,q) lies in which quadrant of the x-y plane? in the Data Sufficiency forum
“[GMAT math practice question] The point (p,q) lies in which quadrant of the x-y plane? 1) (p+1, q) lies in the 2nd quadrant 2) (q-1, p) lies in the 4th quadrant”
March 15, 2019
Max@Math Revolution posted a reply to If xyz ≠ 0, is x^3y^4z^5 > 0? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
March 15, 2019
Max@Math Revolution posted a new topic called If √x+√y=7 and √x-√y=5, what is the value of xy? in the Problem Solving forum
“[GMAT math practice question] If √x+√y=7 and √x-√y=5, what is the value of xy? A. 16 B. 25 C. 36 D. 49 E. 64”
March 14, 2019
Max@Math Revolution posted a reply to Which of the following could be the number of diagonals of a in the Problem Solving forum
“=> The number of diagonals of an n-polygon is nC2 – n = n(n-1)/2 – n=n(n-3)/2. If n = 4, then the number of diagonals is 4C2 – 4 = 6 – 4 = 2. If n = 5, then the number of diagonals is 5C2 – 5 = 10 – 5 = 5. If n = 6, then the number of diagonals is 6C2 – 6 = 15 – 6 = 9. If n ...”
March 14, 2019
Max@Math Revolution posted a new topic called If f(x)=ax^2+bx+c, where a, b and c are integers, is b=0? in the Data Sufficiency forum
“[GMAT math practice question] If f(x)=ax^2+bx+c, where a, b and c are integers, is b=0? 1) f(49)=f(-49)=0 2) f(0)f(49)=0”
March 14, 2019
Max@Math Revolution posted a reply to If x and y are positive integers, x/y=? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
March 14, 2019
Max@Math Revolution posted a new topic called If n, n/3 and n/4 are positive integers, and n is less than in the Problem Solving forum
“[GMAT math practice question] If n, n/3 and n/4 are positive integers, and n is less than or equal to 100, how many values of n are possible? A. 6 B. 7 C. 8 D. 9 E. 10”
March 13, 2019
Max@Math Revolution posted a reply to Alice, Bob, Cindy, Darren, Eddie, Fabian sit on six chairs a in the Problem Solving forum
“=> Note: Because the table is round, Alice’s choice of chair does not change the number of possible arrangements. Once Alice is seated, Bob’s position is determined. Cindy has 4 remaining possible seats. Cindy’s choice determines Darren’s position. Eddie then has 2 remaining ...”
March 13, 2019
Max@Math Revolution posted a new topic called If xyz ≠ 0, is x^3y^4z^5 > 0? in the Data Sufficiency forum
“[GMAT math practice question] If xyz ≠ 0, is x^3y^4z^5 > 0? 1) xz > 0 2) xyz > 0”
March 13, 2019
Max@Math Revolution posted a reply to x and y are integers. If y ≠ 3, is x = 4? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
March 13, 2019
Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum
“To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...”
March 13, 2019
Max@Math Revolution posted a new topic called Which of the following could be the number of diagonals of a in the Problem Solving forum
“[GMAT math practice question] Which of the following could be the number of diagonals of an n-polygon? A. 3 B. 6 C. 8 D. 12 E. 20”
March 12, 2019
Max@Math Revolution posted a new topic called If x and y are positive integers, x/y=? in the Data Sufficiency forum
“[GMAT math practice question] If x and y are positive integers, x/y=? 1) 2^{x+y}3^{xy}=72 2) 2^x3^y=12”
March 12, 2019
Max@Math Revolution posted a new topic called Alice, Bob, Cindy, Darren, Eddie, Fabian sit on six chairs a in the Problem Solving forum
“[GMAT math practice question] Alice, Bob, Cindy, Darren, Eddie, Fabian sit on six chairs around a large round table. Alice must sit opposite Bob and Cindy must sit opposite Darren. How many seating arrangements are possible? A. 6 B. 8 C. 24 D. 120 ...”
March 12, 2019
Max@Math Revolution posted a new topic called x and y are integers. If y ≠ 3, is x = 4? in the Data Sufficiency forum
“[GMAT math practice question] x and y are integers. If y ≠ 3, is x = 4? 1) x+y = 7 2) x^2+y^2 = 25”
March 12, 2019
Max@Math Revolution posted a reply to What is the units digit of the product of any five consecuti in the Problem Solving forum
“=> Since one of the five consecutive integers must be a multiple of 5 and one must an even number, their product is a multiple of 10. Thus, the units digits of the product is 0. Therefore, the answer is A. Answer: A”
March 11, 2019
Max@Math Revolution posted a reply to What is the remainder when -12 is divided by -5? in the Problem Solving forum
“=> If we can write A = BQ + R with 0 ≤ R < |B|, then R is the remainder when A is divided by B. -12 = (-5)*3 + 3 Thus, the remainder when -12 is divided by -5 is 3. Therefore, the answer is E. Answer: E”
March 11, 2019
Max@Math Revolution posted a reply to If n is a positive integer, is n a prime number? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
March 11, 2019
Max@Math Revolution posted a reply to Is the average (arithmetic mean) of x, y, and z equal to the in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
March 11, 2019
Max@Math Revolution posted a new topic called What is the units digit of the product of any five consecuti in the Problem Solving forum
“[GMAT math practice question] What is the units digit of the product of any five consecutive positive integers? A. 0 B. 2 C. 4 D. 6 E. 8”
March 8, 2019
Max@Math Revolution posted a reply to If 0.02 < x < 0.04 and 100 < y < 250, which of t in the Problem Solving forum
“=> Note that (y-x)/(xy) = 1/x – 1/y. 0.02 < x < 0.04 => 1/0.02 > 1/x > 1/0.04 => 50 > 1/x > 25 => 25 < 1/x < 50 100 < y < 250 => 1/100 > 1/y > 1/250 => 0.01 > 1/y > 0.004 => 0.004 < 1/y < 0.01 So, 25 – 0.01 ...”
March 8, 2019
Max@Math Revolution posted a new topic called If n is a positive integer, is n a prime number? in the Data Sufficiency forum
“[GMAT math practice question] If n is a positive integer, is n a prime number? 1) n is the least factor of 77 greater than 1 2) n has exactly two factors”
March 8, 2019
Max@Math Revolution posted a reply to Is a triangle, with one side of length 12, inscribed in a ci in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
March 8, 2019
Max@Math Revolution posted a new topic called What is the remainder when -12 is divided by -5? in the Problem Solving forum
“[GMAT math practice question] What is the remainder when -12 is divided by -5? A. -3 B. -2 C. 0 D. 2 E. 3”
March 7, 2019
Max@Math Revolution posted a reply to If x and y are positive integers and (x-y)^2+y^2=25, which o in the Problem Solving forum
“=> The possible values of the pair (x-y,y), with x and y positive, are (0,5), (3,4), (-3,4), (4,3) and (-4,3). So, (x,y) = (5,5), (7,4), (1,4), (7,3) or (-1,3). Thus, x could be 5, 7 or 1. Therefore, B is the answer. Answer: B”
March 7, 2019
Max@Math Revolution posted a new topic called Is the average (arithmetic mean) of x, y, and z equal to the in the Data Sufficiency forum
“[GMAT math practice question] Is the average (arithmetic mean) of x, y, and z equal to their median? 1) y is the average (arithmetic mean) of x, y, and z 2) z = 2y - x”
March 7, 2019
Max@Math Revolution posted a reply to When 32 is divided by k, the remainder is k-3. What is the in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
March 7, 2019
Max@Math Revolution posted a new topic called If 0.02 < x < 0.04 and 100 < y < 250, which of the following in the Problem Solving forum
“[GMAT math practice question] If 0.02 < x < 0.04 and 100 < y < 250, which of the following could be the value of (y-x)/(xy)? A. 10 B. 20 C. 30 D. 50 E. 100”
March 6, 2019
Max@Math Revolution posted a reply to How many committees can be formed comprising 2 male members in the Problem Solving forum
“=> There are 4C2 ways to select 2 men from 4 men, 5C3 ways to select 3 women from 5 women and 6C3 ways to select 3 juniors from 6 juniors. Therefore, the total number of possible committees is 4C2*5C3*6C3 = {(4*3)/(2*1)}{(5*4*3)/(3*2*1)}{(6*5*4)/(3*2*1)} = 6*10*20 = 1200. Therefore, B is ...”
March 6, 2019
Max@Math Revolution posted a new topic called Is a triangle, with one side of length 12, inscribed in a ci in the Data Sufficiency forum
“[GMAT math practice question] Is a triangle, with one side of length 12, inscribed in a circle a right triangle? 1) The area of the circle is 36π. 2) The circumference of the circle is 12π.”
March 6, 2019
Max@Math Revolution posted a reply to k is a positive integer. When 2^{-k/2} ≤ 1/1,024, k=? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
March 6, 2019
Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum
“To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...”
March 6, 2019
Max@Math Revolution posted a new topic called If x and y are positive integers and (x-y)^2+y^2=25, which o in the Problem Solving forum
“[GMAT math practice question] If x and y are positive integers and (x-y)^2+y^2=25, which of the following could be the value of x? A. 6 B. 7 C. 8 D. 9 E. 10”
March 5, 2019
Max@Math Revolution posted a new topic called When 32 is divided by k, the remainder is k-3. What is the in the Data Sufficiency forum
“[GMAT math practice question] When 32 is divided by k, the remainder is k-3. What is the value of k? 1) k > 20 2) k < 40”
March 5, 2019
Max@Math Revolution posted a new topic called How many committees can be formed comprising 2 male members in the Problem Solving forum
“[GMAT math practice question] How many committees can be formed comprising 2 male members selected from 4 men, 3 female members selected from 5 women, and 3 junior members selected from 6 juniors? A. 900 B. 1200 C. 1500 D. 1800 E. 2400”
March 4, 2019
Max@Math Revolution posted a new topic called k is a positive integer. When 2^{-k/2} ≤ 1/1,024, k=? in the Data Sufficiency forum
“[GMAT math practice question] k is a positive integer. When 2^{-k/2} ≤ 1/1,024, k=? 1) k is an integer less than 21 2) k is an integer greater than 12”
March 4, 2019
Max@Math Revolution posted a reply to Which of following satisfies the inequality (2x-49)(x^2+6x+1 in the Problem Solving forum
“=> x^2+6x+10 = x^2+6x+9 + 1 = (x+3)^2+1 ≥ 1 > 0. Since x^2+6x+10 > 0, we have (2x-49)(x^2+6x+10) ≤ 0, which implies that 2x – 49 < 0. So, 2x < 49, and x < 24.5. Therefore, the answer is A. Answer: A”
March 4, 2019
Max@Math Revolution posted a reply to (x-a)^2 + (y-b)^2 = r^2 is the equation of a circle with rad in the Problem Solving forum
“=> x^2 + y^2 – 10x + 4y = 20 => x^2 – 10x + y^2 + 4y = 20 => x^2 – 10x + 25 + y^2 + 4y + 4 = 20 + 25 + 4 => (x-5)^2 + (y+2)^2 = 49 => (x-5)^2 + (y+2)^2 = 7^2 Thus the circle has center (5,-2) and radius 7. Therefore, the answer is D. Answer: D”
March 4, 2019
Max@Math Revolution posted a reply to If m and n are prime numbers, is m^2 + n^2 an even number? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. In order ...”
March 4, 2019
Max@Math Revolution posted a reply to Is x = y? 1) x ≤ y 2) |x| ≥ |y| in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
March 4, 2019
Max@Math Revolution posted a new topic called Which of following satisfies the inequality (2x-49)(x^2+6x+1 in the Problem Solving forum
“[GMAT math practice question] Which of following satisfies the inequality (2x-49)(x^2+6x+10) < 0? A. 24 B. 25 C. 50 D. 51 E. 99”
March 1, 2019
Max@Math Revolution posted a reply to How many whole numbers between 100 and 400, inclusive, conta in the Problem Solving forum
“=> There are 19 such numbers with hundreds digit 1: 102, 112, 120, 121, …, 129, 132, 142, …, 192. There are 100 such numbers with hundreds digit 2: 200, 201, 202, 203, …, 299. There are 19 such numbers with hundreds digit 3: 302, 312, 320, 321, …, 329, 332, 342, …, 392. Thus, ...”
March 1, 2019
Max@Math Revolution posted a new topic called If m and n are prime numbers, is m^2 + n^2 an even number? in the Data Sufficiency forum
“[GMAT math practice question] If m and n are prime numbers, is m^2 + n^2 an even number? 1) m > 10 2) n > 20”
March 1, 2019
Max@Math Revolution posted a reply to n is a positive integer. What is the remainder when n is div in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
March 1, 2019
Max@Math Revolution posted a new topic called (x-a)^2 + (y-b)^2 = r^2 is the equation of a circle with rad in the Problem Solving forum
“(x-a)^2 + (y-b)^2 = r^2 is the equation of a circle with radius r and center (a,b). What is the radius of the circle with equation x^2 + y^2 – 10x + 4y = 20? A. 4 B. 5 C. 6 D. 7 E. 8”
February 28, 2019
Max@Math Revolution posted a new topic called Is x = y? 1) x ≤ y 2) |x| ≥ |y| in the Data Sufficiency forum
“Is x = y? 1) x ≤ y 2) |x| ≥ |y|”
February 28, 2019
Max@Math Revolution posted a reply to A is the set of 6-digit positive integers whose first three in the Problem Solving forum
“Each number n in the set A is an integer of the form “xyz,xyz”. So, n = 10^5x + 10^4y + 10^3z + 10^2x + 10y + z = 10^3(10^2x + 10y + z) + (10^2x + 10y + z ) = 1000(10^2x + 10y + z) + (102x + 10y + z ) = 1001(10^2x + 10y + z ) = 11*91(10^2x + 10y + z ) Thus, n is a multiple of 11. ...”
February 28, 2019
Max@Math Revolution posted a reply to If n is an integer, is (n+1)(n+2)(n+3) divisible by 12? 1) n in the Data Sufficiency forum
“Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first step of ...”
February 28, 2019
Max@Math Revolution posted a new topic called How many whole numbers between 100 and 400, inclusive, conta in the Problem Solving forum
“How many whole numbers between 100 and 400, inclusive, contain the digit 2? A. 100 B. 125 C. 138 D. 145 E. 150”
February 27, 2019
Max@Math Revolution posted a new topic called n is a positive integer. What is the remainder when n is div in the Data Sufficiency forum
“n is a positive integer. What is the remainder when n is divided by 3? 1) n^2 has remainder 1 when it is divided by 3 2) n has remainder 7 when it is divided by 9”
February 27, 2019
Max@Math Revolution posted a reply to For positive integers m and n, is m^n a perfect square? in the Data Sufficiency forum
“Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first step of ...”
February 27, 2019
Max@Math Revolution posted a reply to (b-a)/ab = 1/a – 1/b. What is the value of 1/2 + 1/6 + 1/1 in the Problem Solving forum
“1/2 + 1/6 + 1/12 + … + 1/90 = 1/(1*2) + 1/(2*3) + 1/(3*4) + … + 1(9*10) = (2-1)/(1*2) + (3-2)/(2*3) + (4-3)/(3*4) + … + (10-9)/(9*10) = (1/1 – 1/2) + (1/2 – 1/3) + (1/3-1/4) + … + (1/9 – 1/10) = 1/1 – 1/10 = 9/10 Therefore, D is the answer.”
February 27, 2019
Max@Math Revolution posted a new topic called A is the set of 6-digit positive integers whose first three in the Problem Solving forum
“A is the set of 6-digit positive integers whose first three digits are same as their last three digits, written in the same order. Which of the following numbers must be a factor of every number in the set A? A. 7 B. 11 C. 17 D. 19 E. 23”
February 26, 2019
Max@Math Revolution posted a new topic called If n is an integer, is (n+1)(n+2)(n+3) divisible by 12? 1) n in the Data Sufficiency forum
“If n is an integer, is (n+1)(n+2)(n+3) divisible by 12? 1) n is an even number. 2) n is a multiple of 4.”
February 26, 2019
Max@Math Revolution posted a new topic called (b-a)/ab = 1/a – 1/b. What is the value of 1/2 + 1/6 + 1/12 in the Problem Solving forum
“(b-a)/ab = 1/a – 1/b. What is the value of 1/2 + 1/6 + 1/12 + … + 1/90? A. 4/5 B. 5/6 C. 8/9 D. 9/10 E. 11/12”
February 25, 2019
Max@Math Revolution posted a new topic called For positive integers m and n, is m^n a perfect square? in the Data Sufficiency forum
“For positive integers m and n, is m^n a perfect square? 1) The five-digit integer, 12,3m0 is a multiple of 4 2) The five-digit integer, 23,4n5 is a multiple of 9”
February 25, 2019
Max@Math Revolution posted a reply to If 1/x-1/y=1/z, what is the value of y, in terms of x and z? in the Problem Solving forum
“=> Making y the subject of the equation 1/x – 1/y = 1/z yields 1/y = 1/x – 1/z = (z-x)/xz, and y = xz/(z-x). Therefore, the answer is A. Answer: A”
February 24, 2019
Max@Math Revolution posted a reply to What is the greatest positive three-digit number that is div in the Problem Solving forum
“=> The question asks for the value of the greatest positive three-digit multiple of lcm(2,3,4,5,6,7), where lcm(2,3,4,5,6,7) is the least common multiple of 2, 3, 4, 5, 6 and 7. lcm(2,3,4,5,6,7) = 2^2*3*5*7 = 420. There are two positive three-digit integers that are multiples of 420: 420 ...”
February 24, 2019
Max@Math Revolution posted a reply to a, b, and c are positive integers. Is a+b+c an odd number? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
February 24, 2019
Max@Math Revolution posted a reply to f(x)=x^{2n}+x^n+1, where n is an integer. Is f(x)=1? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
February 24, 2019
Max@Math Revolution posted a new topic called If 1/x-1/y=1/z, what is the value of y, in terms of x and z? in the Problem Solving forum
“[GMAT math practice question] If 1/x-1/y=1/z, what is the value of y, in terms of x and z? A. xz/(z-x) B. xz/(x-z) C. x/z(z-x) D. z/x(x-z) E. xz(z-x)”
February 22, 2019
Max@Math Revolution posted a reply to What is the largest digit n for which the number 123,45n is in the Problem Solving forum
“=> Recall that a number is divisible by 3 if and only if the sum of its digits is divisible by 3. The sum of the digits of 123,45n is 1 + 2 + 3 + 4 + 5 + n = n + 15. This is divisible by 3 exactly when n is divisible by 3. So, n must be a multiple of 3. Thus, the largest digit, n is 9. ...”
February 22, 2019
Max@Math Revolution posted a new topic called a, b, and c are positive integers. Is a+b+c an odd number? in the Data Sufficiency forum
“[GMAT math practice question] a, b, and c are positive integers. Is a + b + c an odd number? 1) ab is an odd number 2) c is an odd number”
February 22, 2019
Max@Math Revolution posted a reply to If a and b are positive integers, is a+b divisible by 7? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
February 22, 2019
Max@Math Revolution posted a new topic called What is the greatest positive three-digit number that is div in the Problem Solving forum
“[GMAT math practice question] What is the greatest positive three-digit number that is divisible by 2, 3, 4, 5, 6 and 7? A. 120 B. 140 C. 210 D. 420 E. 840”
February 21, 2019
Max@Math Revolution posted a reply to A box contains 1 red ball, 3 green balls, 5 yellow balls, 7 in the Problem Solving forum
“=> The maximum number of draws without 7 balls of a single color is 1 + 3 + 5 + 6 + 6 + 6 = 27, obtained by drawing 1 red ball, 3 green balls, 5 yellow balls, 6 blue balls, 6 white balls and 6 black balls. If we draw one more ball, then we must have 7 balls of one color. Thus, we need to draw ...”
February 21, 2019
Max@Math Revolution posted a new topic called f(x)=x^{2n}+x^n+1, where n is an integer. Is f(x)=1? in the Data Sufficiency forum
“[GMAT math practice question] f(x)=x^{2n}+x^n+1, where n is an integer. Is f(x)=1? 1) x=-1 2) n is a multiple of 5.”
February 21, 2019
Max@Math Revolution posted a reply to If the median of 5 positive integers is 10, is their average in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
February 21, 2019
Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum
“To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...”
February 21, 2019
Max@Math Revolution posted a new topic called What is the largest digit n for which the number 123,45n is in the Problem Solving forum
“[GMAT math practice question] What is the largest digit n for which the number 123,45n is divisible by 3? A. 3 B. 5 C. 6 D. 7 E. 9”
February 21, 2019
Max@Math Revolution posted a reply to The squares of two consecutive positive integers differ by 5 in the Problem Solving forum
“=> Let the two consecutive positive integers be n and n+1. Then (n+1)^2 – n^2 = 55, so 2n+1 = 55. It follows that 2n = 54 and n = 27. Therefore, the answer is A. Answer: A ”
February 21, 2019
Max@Math Revolution posted a new topic called If a and b are positive integers, is a+b divisible by 7? in the Data Sufficiency forum
“[GMAT math practice question] If a and b are positive integers, is a+b divisible by 7? 1) a – b is divisible by 7 2) a+b+7 is divisible by 91”
February 21, 2019
Max@Math Revolution posted a reply to If a and b are integers, and x and y are positive integers, in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
February 21, 2019
Max@Math Revolution posted a new topic called A box contains 1 red ball, 3 green balls, 5 yellow balls, 7 in the Problem Solving forum
“[GMAT math practice question] A box contains 1 red ball, 3 green balls, 5 yellow balls, 7 blue balls, 9 white balls, and 11 black balls. What is the minimum number of balls that must be drawn from the box without replacement to guarantee that at least 7 balls of the same color are drawn? A. 7 ...”
February 19, 2019
Max@Math Revolution posted a new topic called If the median of 5 positive integers is 10, is their average in the Data Sufficiency forum
“[GMAT math practice question] If the median of 5 positive integers is 10, is their average (arithmetic mean) greater than 10? 1) The largest number is 40 2) The smallest number is 1”
February 19, 2019
Max@Math Revolution posted a new topic called The squares of two consecutive positive integers differ by 5 in the Problem Solving forum
“[GMAT math practice question] The squares of two consecutive positive integers differ by 55. What is the smaller of the two integers? A. 27 B. 29 C. 30 D. 32 E. 35”
February 18, 2019
Max@Math Revolution posted a new topic called If a and b are integers, and x and y are positive integers, in the Data Sufficiency forum
“[GMAT math practice question] If a and b are integers, and x and y are positive integers, is a^x+b^y > 0? 1) a^{x+y}>0 2) b^{x+y}>0”
February 18, 2019
Max@Math Revolution posted a reply to What is the value of (2^{2020} + 2^{2018}) / (2^{2020}-2^{20 in the Problem Solving forum
“=> (2^{2020} + 2^{2018}) / (2^{2020}-2^{2018}) = (2^22^{2018} + 2^{2018}) / (2^22^{2018}-2^{2018}) = (2^{2018})(2^2+1) / (2^{2018})(2^2-1) = (2^2+1) / (2^2-1) = 5/3 Therefore, the answer is B. Answer: B”
February 18, 2019
Max@Math Revolution posted a reply to Which of the following expressions is equal to 2^32-2^31-2^3 in the Problem Solving forum
“=> 2^{32}-2^{31}-2^{30}? = (2^2)(2^{30})- (2^1)(2^{30})-2^{30} = 4(2^{30})- 2(2^{30})-2^{30} = (4-2-1)(2^{30}) =1(2^{30})=2^{30} Therefore, the answer is C. Answer: C”
February 18, 2019
Max@Math Revolution posted a reply to a^n^2+n-1/^a(n-1)(n+2)=? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
February 18, 2019
Max@Math Revolution posted a reply to Is |a|<1? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
February 18, 2019
Max@Math Revolution posted a new topic called What is the value of (2^{2020} + 2^{2018}) / (2^{2020}-2^{20 in the Problem Solving forum
“[GMAT math practice question] What is the value of (2^{2020} + 2^{2018}) / (2^{2020}-2^{2018})? A. 3/5 B. 5/3 C. 2^{2018} D. 2^{2019} E. 2^{2020}”
February 15, 2019
Max@Math Revolution posted a reply to How many integers between 18 and 3399 are multiples of 17? in the Problem Solving forum
“=> 18 = 17*1 + 1, 34 = 17*2 is the least multiple of 17 greater than 18. 3399 = 17*199 + 16, 3383 = 17*199 is the greatest multiple of 17 less than 3399. Thus, the multiples of 17 between 18 and 3399 are 34=17*2, … , 3383 = 17*199. There are 198 = (199 – 2) + 1 of these numbers as they ...”
February 15, 2019
Max@Math Revolution posted a new topic called a^n^2+n-1/^a(n-1)(n+2)=? in the Data Sufficiency forum
“[GMAT math practice question] $$\frac{a^{n^2+n-1}}{a^{\left(n-1\right)\left(n+2\right)}}=?$$ 1) n=5 2) a=5”
February 15, 2019
Max@Math Revolution posted a reply to x^3-y^3=? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
February 15, 2019
Max@Math Revolution posted a new topic called Which of the following expressions is equal to 2^32-2^31-2^3 in the Problem Solving forum
“[GMAT math practice question] Which of the following expressions is equal to 2^32-2^31-2^30? A. 3*2^29 B. 5*2^29 C. 2^30 D. 3*2^30 E. 2^31”
February 14, 2019
Max@Math Revolution posted a reply to How many numbers between 1 and 200, inclusive, have a 2 in in the Problem Solving forum
“=> In order for a number with 2 in the units place to be divisible by 4, the last two digits must be one of 12, 32, 52, 72 and 92. Thus, the numbers between 1 and 200, inclusive, satisfying this property are 12, 32, 52, 72, 92, 112, 132, 152 and 172. There are 8 such numbers. Therefore, ...”
February 14, 2019
Max@Math Revolution posted a new topic called Is |a|<1? in the Data Sufficiency forum
“[GMAT math practice question] Is |a|<1? 1) a^2 < 1 2) 1/(1-a^2) > 0”
February 14, 2019
Max@Math Revolution posted a reply to Is 3(a-b)>0? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
February 14, 2019
Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum
“To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...”
February 14, 2019
Max@Math Revolution posted a new topic called How many integers between 18 and 3399 are multiples of 17? in the Problem Solving forum
“[GMAT math practice question] How many integers between 18 and 3399 are multiples of 17? A. 198 B. 199 C. 200 D. 201 E. 202”
February 13, 2019
Max@Math Revolution posted a reply to If x=0.2, then what is the value of x^3-1/x-1? in the Problem Solving forum
“=> $$\frac{x^3-1}{x-1}=\frac{\left(x-1\right)\left(x^2+x+1\right)}{x-1}=x^2+x+1$$ Plugging in x = 0.2 yields x^2+x+1 = (0.2)^2 + (0.2) + 1 = 0.04 + 0.2 + 1 = 1.24 Therefore, the answer is C. Answer: C”
February 13, 2019
Max@Math Revolution posted a new topic called x^3-y^3=? in the Data Sufficiency forum
“[GMAT math practice question] x^3-y^3=? 1) x-y=0 2) |x|=|y|”
February 13, 2019
Max@Math Revolution posted a reply to What is the area of a right triangle? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since ...”
February 13, 2019
Max@Math Revolution posted a new topic called How many numbers between 1 and 200, inclusive, have a 2 in in the Problem Solving forum
“[GMAT math practice question] How many numbers between 1 and 200, inclusive, have a 2 in the units place and are divisible by 4? A. 8 B. 9 C. 10 D. 11 E. 12”
February 12, 2019
Max@Math Revolution posted a new topic called Is 3(a-b)>0? in the Data Sufficiency forum
“[GMAT math practice question] Is 3(a-b) > 0? 1) a^3 > b^3 2) a > b”
February 12, 2019
Max@Math Revolution posted a new topic called If x=0.2, then what is the value of x^3-1/x-1? in the Problem Solving forum
“[GMAT math practice question] If x=0.2, then what is the value of x^3-1/x-1? A. 1.2 B. 1.22 C. 1.24 D. 1.44 E. 2.22”
February 11, 2019
Max@Math Revolution posted a new topic called What is the area of a right triangle? in the Data Sufficiency forum
“[GMAT math practice question] What is the area of a right triangle? 1) The length of one side is 3 2) The length of one side is 4”
February 11, 2019
Max@Math Revolution posted a reply to a0 = 0, a1 = 1. an is the remainder when an-1 + an-2 is divi in the Problem Solving forum
“=> a0 = 0 a1 = 1 a2 = a1 + a0 = 1 + 0 = 1 a3 = a_2 + a1 = 1 + 1 = 2 a4 = 0 since a3 + a2 = 2 + 1 = 3 = 3(1)+0, and the remainder when a3 + a2 is divided by 3 is zero. a5 = a4 + a3 = 0 + 2 = 2 a6 = a5 + a4 = 2 + 0 = 2 a7 = 1 since a6 + a5 = 2 + 2 = 4= 3(1)+1, and the remainder when a6 + ...”
February 11, 2019
Max@Math Revolution posted a reply to What is the sum of the digits of the number (2^{2018})(5^{20 in the Problem Solving forum
“=> (2^{2018})(5^{2019})(3^2) = (2^{2018})(5^{2019})(5^1)(3^2) = (10^{2018})(5)(9) = (45)(10^{2018}) = 450000…0 The sum of the digits is 4 + 5 + 0 + 0 + 0 + … + 0 = 9 Therefore, the answer is E. Answer: E”
February 11, 2019
Max@Math Revolution posted a reply to Does f(x)=ax^4+bx^3+cx^2+dx+e have (x-2) as a factor? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
February 11, 2019
Max@Math Revolution posted a reply to 3x+4y=? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
February 11, 2019
Max@Math Revolution posted a new topic called a0 = 0, a1 = 1. an is the remainder when an-1 + an-2 is divi in the Problem Solving forum
“0 = 0, a1 = 1. an is the remainder when an-1 + an-2 is divided by 3 for n ≥ 2. What is the value of a101 + a102 + a103 + a104 + a105 + a106 + a107 + a108? A. 0 B. 3 C. 5 D. 7 E. 9”
February 8, 2019
Max@Math Revolution posted a reply to We define the harmonic mean of a set of numbers as the recip in the Problem Solving forum
“=> 1 / { ( 1/20 + 1/30 ) / 2 } = 1 / { ( 3/60 + 2/60 ) / 2 } = 1 / { (5/60) / 2 } = 1 / { 5 / 120 } = 120 / 5 = 24. Therefore, the answer is B. Answer: B”
February 8, 2019
Max@Math Revolution posted a new topic called Does f(x)=ax^4+bx^3+cx^2+dx+e have (x-2) as a factor? in the Data Sufficiency forum
“[GMAT math practice question] Does f(x)=ax^4+bx^3+cx^2+dx+e have (x-2) as a factor? 1) f(2)=0 2) f(-2)=0”
February 8, 2019
Max@Math Revolution posted a reply to If x, y, z are positive integers, is xyz ≥ 64? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
February 8, 2019
Max@Math Revolution posted a new topic called What is the sum of the digits of the number (2^{2018})(5^{20 in the Problem Solving forum
“[GMAT math practice question] What is the sum of the digits of the number (2^{2018})(5^{2019})(3^2)? A. 4 B. 5 C. 6 D. 7 E. 9”
February 7, 2019
Max@Math Revolution posted a reply to If (x-7)^2=-|y-5|, xy=? in the Problem Solving forum
“=> (x-7)^2=-|y-5| => (x-7)^2+|y-5| = 0 => x = 7 and y = 5 This yields xy = 35. Therefore, the answer is D. Answer: D”
February 7, 2019
Max@Math Revolution posted a new topic called 3x+4y=? in the Data Sufficiency forum
“[GMAT math practice question] 3x+4y=? 1) 2|x|+3|y|=0 2) 3|x|+2|y|=0”
February 7, 2019
Max@Math Revolution posted a reply to If a > b > c > d > 0, is d < 4? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
February 7, 2019
Max@Math Revolution posted a new topic called We define the harmonic mean of a set of numbers as the recip in the Problem Solving forum
“[GMAT math practice question] We define the harmonic mean of a set of numbers as the reciprocal of the average (arithmetic mean) of the reciprocals of the numbers. What is the harmonic mean of 20 and 30? A. 22 B. 24 C. 25 D. 26 E. 28”
February 6, 2019
Max@Math Revolution posted a reply to What is the number of the x-intercepts of y=x^4-3x^3+2x^2? in the Problem Solving forum
“=> y = x^4-3x^3+2x^2 => y = x^2(x^2-3x+2) => y = x^2(x-1)(z-2) The x-intercepts occur when y = 0. This occurs when x = 0, x = 1 and x = 2. There are three x-intercepts. Therefore, the answer is C. Answer: C”
February 6, 2019
Max@Math Revolution posted a new topic called If x, y, z are positive integers, is xyz ≥ 64? in the Data Sufficiency forum
“[GMAT math practice question] If x, y, z are positive integers, is xyz ≥ 64? 1) xy ≥ yz ≥ zx ≥ 16 2) x + y + z = 64”
February 6, 2019
Max@Math Revolution posted a reply to If x, y are integers, is (x-y)(x+y)(x^2+y^2) an odd number? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
February 6, 2019
Max@Math Revolution posted a new topic called If (x-7)^2=-|y-5|, xy=? in the Problem Solving forum
“[GMAT math practice question] If (x-7)^2=-|y-5|, xy=? A. 5 B. 7 C. 12 D. 35 E. cannot be determined”
February 5, 2019
Max@Math Revolution posted a new topic called If a > b > c > d > 0, is d < 4? in the Data Sufficiency forum
“[GMAT math practice question] If a > b > c > d > 0, is d < 4? 1) 1/c + 1/d > 1/2 2) (1/a)+(1/b)+(1/c)+(1/d) = 1”
February 5, 2019
Max@Math Revolution posted a new topic called What is the number of the x-intercepts of y=x^4-3x^3+2x^2? in the Problem Solving forum
“[GMAT math practice question] What is the number of the x-intercepts of y=x^4-3x^3+2x^2? A. one B. two C. three D. four E. five”
February 4, 2019
Max@Math Revolution posted a reply to If ( x – y – 2 )^2 + ( x + z + 3 )^2 = 0, then what is t in the Problem Solving forum
“=> Since ( x – y – 2 )^2 + ( x + z + 3 )^2 = 0, we must have x – y – 2 = 0 and x + z + 3 = 0. So, x = y + 2 and x + z + 3 = ( y + 2 ) + z + 3 = y + z + 5 = 0. Thus, y + z = -5. Therefore, the answer is E. Answer: E”
February 4, 2019
Max@Math Revolution posted a reply to f(2x-1) = ( x + 2 ) / ( x – 2 ). What is f(x)? in the Problem Solving forum
“=> We solve this problem using a change of variable. Let t = 2x -1. Then 2x = t + 1 or x = ( t + 1 ) / 2. f(2x-1) = f(t) = ( (t+1)/2 + 2 ) / ( (t+1)/2 – 2 ) = ( t + 1 + 4 ) / ( t + 1 – 4 ) (after multiplying both top and bottom by 2) = ( t + 5 ) / ( t – 3 ). Making the substitution ...”
February 4, 2019
Max@Math Revolution posted a new topic called If x, y are integers, is (x-y)(x+y)(x^2+y^2) an odd number? in the Data Sufficiency forum
“[GMAT math practice question] If x, y are integers, is (x-y)(x+y)(x^2+y^2) an odd number? 1) x is an odd number 2) x-y is an odd number”
February 4, 2019
Max@Math Revolution posted a reply to If p, x, and y are integers, x^p/x^q=? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
February 4, 2019
Max@Math Revolution posted a reply to Is 3 a factor of x? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
February 4, 2019
Max@Math Revolution posted a new topic called If ( x – y – 2 )^2 + ( x + z + 3 )^2 = 0, then what is the v in the Problem Solving forum
“[GMAT math practice question] If ( x – y – 2 )^2 + ( x + z + 3 )^2 = 0, then what is the value of y + z? A. 0 B. 3 C. -3 D. 5 E. -5”
February 1, 2019
Max@Math Revolution posted a reply to {an} is a sequence satisfying an+2 = an+1 + an. If a1 = a4 = in the Problem Solving forum
“=> a3 = a2 + a1 = a2 + 2. a4 = a3 + a2 = a2 + (a2 + 2) = 2a2 + 2 = 2. Thus, a2 = 0 and a3 = 2. Therefore, a5 = a4 + a3 = 2 + 2 = 4, a6 = a5 + a4 = 4 + 2 = 6, and a7 = a6 + a5 = 6 + 4 = 10. Therefore, the answer is A. Answer: A”
February 1, 2019
Max@Math Revolution posted a new topic called If p, x, and y are integers, x^p/x^q=? in the Data Sufficiency forum
“[GMAT math practice question] If p, x, and y are integers, x^p/x^q=? 1) p=q+4 2) x^q=16”
February 1, 2019
Max@Math Revolution posted a reply to Five data values are 11, 14, 16, 18 and x. What is the valu in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
February 1, 2019
Max@Math Revolution posted a new topic called f(2x-1) = ( x + 2 ) / ( x – 2 ). What is f(x)? in the Problem Solving forum
“[GMAT math practice question] f(2x-1) = ( x + 2 ) / ( x – 2 ). What is f(x)? A. f(x) = ( x + 5 ) / ( x – 3 ) B. f(x) = ( x - 5 ) / ( x + 3 ) C. f(x) = ( x + 5 ) / ( x + 3 ) D. f(x) = ( x – 5 ) / ( x – 3 ) E. f(x) = ( x + 3 ) / ( x – 3 )”
January 31, 2019
Max@Math Revolution posted a reply to f(x) has the properties, f(x+y) = x + f(y) and f(0) = 5. Wha in the Problem Solving forum
“=> Using f(x +y ) = x + f(y) yields f(x) = f(x+0) = x + f(0) Now, using f(0) = 5 yields f(x) = x + 5. Therefore, f(100) = 100 + 5 = 105. Therefore, the answer is C. Answer: C ”
January 31, 2019
Max@Math Revolution posted a new topic called Is 3 a factor of x? in the Data Sufficiency forum
“[GMAT math practice question] Is 3 a factor of x? 1) x-3 is divisible by 6 2) x+3 is divisible by 6”
January 31, 2019
Max@Math Revolution posted a reply to If operation # represents one of addition, subtraction, mult in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The ...”
January 31, 2019
Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum
“To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...”
January 31, 2019
Max@Math Revolution posted a new topic called {an} is a sequence satisfying an+2 = an+1 + an. If a1 = a4 = in the Problem Solving forum
“n} is a sequence satisfying an+2 = an+1 + an. If a1 = a4 = 2, what is the value of a7? A. 10 B. 12 C. 14 D. 15 E. 16”
January 30, 2019
Max@Math Revolution posted a reply to What is the value of (2^8 + 2^9 + 2^{10} + 2^{11}) / 32? in the Problem Solving forum
“=> $$\frac{\left(2^8+2^9+2^{10}+2^{11}\right)}{32}$$ $$=\frac{\left(2^8+2^82^1+2^82^2+2^82^3\right)}{2^5}$$ $$=\frac{2^8\left(1+2^1+2^2+2^3\right)}{2^5}$$ $$=2^3\left(1+2+4+8\right)$$ $$=8\cdot15$$ $$=120$$ Therefore, the answer is D. Answer: D”
January 30, 2019
Max@Math Revolution posted a new topic called Five data values are 11, 14, 16, 18 and x. What is the valu in the Data Sufficiency forum
“[GMAT math practice question] Five data values are 11, 14, 16, 18 and x. What is the value of x? 1) The mode of the 5 data values is 11 2) The average (arithmetic mean) of the 5 data values is 14”
January 30, 2019
Max@Math Revolution posted a reply to If n is positive integer, is 4^n+n^2+1 divisible by 2? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
January 30, 2019
Max@Math Revolution posted a new topic called f(x) has the properties, f(x+y) = x + f(y) and f(0) = 5. Wha in the Problem Solving forum
“[GMAT math practice question] f(x) has the properties, f(x+y) = x + f(y) and f(0) = 5. What is the value of f(100)? A. 95 B. 100 C. 105 D. 120 E. 135”
January 29, 2019
Max@Math Revolution posted a new topic called If operation # represents one of addition, subtraction, mult in the Data Sufficiency forum
“[GMAT math practice question] If operation # represents one of addition, subtraction, multiplication, and division, what is the value of 0 # 1? 1) 2 # 1 = 2 2) 4 # 2 = 2”
January 29, 2019
Max@Math Revolution posted a new topic called What is the value of (2^8 + 2^9 + 2^{10} + 2^{11}) / 32? in the Problem Solving forum
“[GMAT math practice question] What is the value of (2^8 + 2^9 + 2^{10} + 2^{11}) / 32? A. 80 B. 96 C. 100 D. 120 E. 160”
January 28, 2019
Max@Math Revolution posted a new topic called If n is positive integer, is 4^n+n^2+1 divisible by 2? in the Data Sufficiency forum
“[GMAT math practice question] If n is positive integer, is 4^n+n^2+1 divisible by 2? 1) n is a multiple of 4 2) n is a multiple of 6”
January 28, 2019
Max@Math Revolution posted a reply to If 2 roots of the equation x^2+px+q=0 are -3 and 2, what is in the Problem Solving forum
“=> The equation of this form with roots -3 and 2 is (x+3)(x-2) = 0 or x^2 + x – 6 = 0. Thus, p = 1 and q = -6, and p + q = -5. Therefore, the answer is A. Answer: A”
January 28, 2019
Max@Math Revolution posted a reply to If x+(1/x)=4, what is the value of x^2+(1/x^2)? in the Problem Solving forum
“=> ( x + 1/x )^2 = x^2 + 2x(1/x) + (1/x)^2 = x^2 + (1/x)^2 + 2 = 4^2 = 16. Thus, x^2 + (1/x)^2 = ( x + 1/x )^2 - 2 = 16 - 2 = 14. Therefore, the answer is C. Answer: C”
January 28, 2019
Max@Math Revolution posted a reply to m+n=? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
January 28, 2019
Max@Math Revolution posted a reply to If x and y are non-zero numbers and x ≠ ± y, then ( x^2 + in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
January 28, 2019
Max@Math Revolution posted a new topic called If 2 roots of the equation x^2+px+q=0 are -3 and 2, what is in the Problem Solving forum
“[Math Revolution GMAT math practice question] If 2 roots of the equation x^2+px+q=0 are -3 and 2, what is the value of p + q? A. -5 B. -3 C. -1 D. 0 E. 1”
January 25, 2019
Max@Math Revolution posted a reply to What is the measure of each interior angle of a regular deca in the Problem Solving forum
“=> The sum of all interior angles of n-gon is (n-2)*180°. A decagon is a 10-gon. The sum of all interior angles is (10-2)* 180° = 8*180°. And each interior angle of a regular decagon has measure 8*180° / 10 = 8*18° = 144°. Therefore, the answer is E. Answer: E”
January 25, 2019
Max@Math Revolution posted a new topic called m+n=? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] m+n=? 1) (4^m)(2^n)=16 2) (2^{2m})(4^n)=64”
January 25, 2019
Max@Math Revolution posted a reply to x=? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
January 25, 2019
Max@Math Revolution posted a new topic called If x+(1/x)=4, what is the value of x^2+(1/x^2)? in the Problem Solving forum
“[Math Revolution GMAT math practice question] If x+(1/x)=4, what is the value of x^2+(1/x^2)? A. 10 B. 12 C. 14 D. 16 E. 18”
January 24, 2019
Max@Math Revolution posted a reply to A = (2-3+4)^{11}, and B = (-2+3-4)^{11}. What is the value o in the Problem Solving forum
“=> A + B = (2-3+4)^{11}+ (-2+3-4)^{11} = 3^{11}+ (-3)^{11} = 3^{11}- 3^{11} = 0. Therefore, 2^{A+B} = 2^0 = 1. Therefore, the answer is C. Answer: C”
January 24, 2019
Max@Math Revolution posted a new topic called If x and y are non-zero numbers and x ≠ ± y, then ( x^2 + y^ in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If x and y are non-zero numbers and x ≠ ± y, then ( x^2 + y^2 ) / ( x^2 - y^2 )=? 1) |x/y| = 1/3 2) y = -3x”
January 24, 2019
Max@Math Revolution posted a reply to If y=|x-1|+|x+1|, then y=? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
January 24, 2019
Max@Math Revolution posted a new topic called What is the measure of each interior angle of a regular deca in the Problem Solving forum
“[Math Revolution GMAT math practice question] What is the measure of each interior angle of a regular decagon? A. 72° B. 108° C. 120° D. 135° E. 144°”
January 23, 2019
Max@Math Revolution posted a reply to If x-2y=4, then x^2-4xy+4y^2-x+2y=? in the Problem Solving forum
“=> x^2-4xy+4y^2-x+2y =(x-2y)^2 – (x-2y) =4^2 – 4 = 16 – 4 = 12. Therefore, the answer is A. Answer: A”
January 23, 2019
Max@Math Revolution posted a new topic called x=? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] x=? 1) x^3-x=0 2) x=-x”
January 23, 2019
Max@Math Revolution posted a reply to n is a 3 digit integer of the form ab6. Is n divisible by 4? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
January 23, 2019
Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum
“To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...”
January 23, 2019
Max@Math Revolution posted a new topic called A = (2-3+4)^{11}, and B = (-2+3-4)^{11}. What is the value o in the Problem Solving forum
“[Math Revolution GMAT math practice question] A = (2-3+4)^{11}, and B = (-2+3-4)^{11}. What is the value of 2^{A+B}? A. 1/2048 B. 1/1024 C. 1 D. 1024 E. 2048”
January 22, 2019
Max@Math Revolution posted a new topic called If y=|x-1|+|x+1|, then y=? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If y=|x-1|+|x+1|, then y=? 1) x > -1 2) x < 1”
January 22, 2019
Max@Math Revolution posted a new topic called If x-2y=4, then x^2-4xy+4y^2-x+2y=? in the Problem Solving forum
“[Math Revolution GMAT math practice question] If x-2y=4, then x^2-4xy+4y^2-x+2y=? A. 12 B. 16 C. 20 D. 24 E. 28”
January 21, 2019
Max@Math Revolution posted a new topic called n is a 3 digit integer of the form ab6. Is n divisible by 4? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] n is a 3 digit integer of the form ab6. Is n divisible by 4? 1) a+b is an even integer 2) ab is an odd integer.”
January 21, 2019
Max@Math Revolution posted a reply to 32 teams compete in the World Cup of Soccer. They are divid in the Problem Solving forum
“=> Each group plays 4C2 = 6 games and we have 8 groups. Thus, the group stage includes 6*8 = 48 games. Therefore, the answer is C. Answer: C”
January 21, 2019
Max@Math Revolution posted a reply to The speed of a boat is 5 times the speed at which a river fl in the Problem Solving forum
“=> Let d and v be the distance the boat travels and the speed of the river flow, respectively. The time the boat takes to travel up the river is d / ( 5v – v ) = d/4v. The time the boat takes to travel down the river is d / ( 5v + v ) = d/6v. Let p be the percentage are looking for. ...”
January 21, 2019
Max@Math Revolution posted a reply to Is ab < 0? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
January 21, 2019
Max@Math Revolution posted a reply to A sequence An satisfies An+3=An+8. What is the remainder whe in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
January 21, 2019
Max@Math Revolution posted a new topic called 32 teams compete in the World Cup of Soccer. They are divid in the Problem Solving forum
“[Math Revolution GMAT math practice question] 32 teams compete in the World Cup of Soccer. They are divided into eight groups of four teams (groups A to H) to compete in the ‘group stage’. Teams in each group play one another in a round-robin competition, with the top two teams of each group ...”
January 18, 2019
Max@Math Revolution posted a reply to If the median and the range of the data set 1, 1, 2, 2, 3, 3 in the Problem Solving forum
“=> If 3 ≤ m ≤ 4, then the median is 3 and the range of the data is 3. Thus, any number between 3 and 4, inclusive, is possible. If 2 ≤ m < 3, then the median is m and the range of the data is 3. Thus, there is no possible value of m in the interval 2 ≤ m < 3. If m < 2, then ...”
January 18, 2019
Max@Math Revolution posted a new topic called Is ab < 0? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] Is ab < 0? 1) |a+b| = - ( a + b ) 2) |a+b| + 1 = |a| + |b|”
January 18, 2019
Max@Math Revolution posted a reply to If x and y are integers, is x^2-y^2 an even integer? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
January 18, 2019
Max@Math Revolution posted a new topic called The speed of a boat is 5 times the speed at which a river fl in the Problem Solving forum
“[Math Revolution GMAT math practice question] The speed of a boat is 5 times the speed at which a river flows. What percent of the time it takes for the boat to travel down the river (i.e. in the same direction as the river flow) does it take for the boat to travel up the river? A. 50% ...”
January 17, 2019
Max@Math Revolution posted a reply to A rectangular wall has dimensions of 800 by 300. If the wall in the Problem Solving forum
“=> Now, 800 / 25 = 32 and 300 / 12 = 25. Thus, the number of tiles required is 32 * 25 = 800. Therefore, the answer is E. Answer: E”
January 17, 2019
Max@Math Revolution posted a new topic called A sequence An satisfies An+3=An+8. What is the remainder whe in the Data Sufficiency forum
“n satisfies An+3=An+8. What is the remainder when A99 is divided by 8? 1) A1=1 2) A2=2”
January 17, 2019
Max@Math Revolution posted a reply to If x, y are integers, is x^2+x+y an odd integer? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
January 17, 2019
Max@Math Revolution posted a new topic called If the median and the range of the data set 1, 1, 2, 2, 3, 3 in the Problem Solving forum
“[Math Revolution GMAT math practice question] If the median and the range of the data set 1, 1, 2, 2, 3, 3, 4, 4, m are the same, which of the following could be the value of m? A. -1 B. 0 C. 1 D. 2 E. 3”
January 16, 2019
Max@Math Revolution posted a reply to Three machines have equal constant work rates. It takes h + in the Problem Solving forum
“=> The work rate for each machine is given by 360 / {2(h+3)} = 180 / ( h + 3 ). Another expression for this work rate is 360 / (3h) = 120 / h. Thus, 180 / ( h + 3 ) = 120 / h or 3 / ( h + 3 ) = 2 / h. So, 3h = 2(h+3) and h = 6. The sum of the work rates of the 3 machines is 360 / 6 = 60. ...”
January 16, 2019
Max@Math Revolution posted a new topic called If x and y are integers, is x^2-y^2 an even integer? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If x and y are integers, is x^2-y^2 an even integer? 1) x^3-y^3 is an even integer 2) x+y is an even integer”
January 16, 2019
Max@Math Revolution posted a reply to Is a > b - c? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
January 16, 2019
Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum
“To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...”
January 16, 2019
Max@Math Revolution posted a new topic called A rectangular wall has dimensions of 800 by 300. If the wall in the Problem Solving forum
“[Math Revolution GMAT math practice question] A rectangular wall has dimensions of 800 by 300. If the wall is tiled using tiles measuring 12 x 25 of the same units, how many tiles are used? A. 360 B. 400 C. 500 D. 600 E. 800”
January 15, 2019
Max@Math Revolution posted a new topic called If x, y are integers, is x^2+x+y an odd integer? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If x, y are integers, is x^2+x+y an odd integer? 1) x is an odd integer 2) y is an odd integer”
January 15, 2019
Max@Math Revolution posted a new topic called Three machines have equal constant work rates. It takes h + in the Problem Solving forum
“[Math Revolution GMAT math practice question] Three machines have equal constant work rates. It takes h + 3 hours to produce 360 toys when 2 machines work together, and it takes h hours to produce 360 toys when 3 machines work together. How many toys can each machine produce per hour when working ...”
January 14, 2019
Max@Math Revolution posted a new topic called Is a > b - c? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] Is a > b - c? 1) |c-b| < a 2) a, b, and c are the lengths of the 3 sides of a triangle.”
January 14, 2019
Max@Math Revolution posted a reply to n is a product of 6 distinct prime numbers. m!/n is an integ in the Problem Solving forum
“=> The smallest product of 6 distinct prime numbers is n = 2*3*5*7*11*13. 13! Is the smallest factorial that is divisible by 2*3*5*7*11*13. Thus, the smallest possible integer value of m is 13. Therefore, the answer is D. Answer: D”
January 14, 2019
Max@Math Revolution posted a reply to (7+43+7-43)^2 is equal to which of the following? in the Problem Solving forum
“=> You should recall two properties about nested radicals: $$\sqrt{a+b+2\sqrt{ab}}=\sqrt{a}+\sqrt{b}$$ , $$\sqrt{a+b-2\sqrt{ab}}=\sqrt{a}-\sqrt{b}$$ , where a > b. Together, these yield $$\left(\sqrt{7+4\sqrt{3}}+\sqrt{7-4\sqrt{3}}\right)^2$$ ...”
January 14, 2019
Max@Math Revolution posted a reply to In the xy-plane, a circle has center (0,0) and radius 5. Is in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
January 14, 2019
Max@Math Revolution posted a reply to x, y and z are the sides of the triangle shown and h is its in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
January 14, 2019
Max@Math Revolution posted a new topic called n is a product of 6 distinct prime numbers. m!/n is an integ in the Problem Solving forum
“[Math Revolution GMAT math practice question] n is a product of 6 distinct prime numbers. m!/n is an integer. What is the smallest possible value of m? A. 10 B. 11 C. 12 D. 13 E. 14”
January 11, 2019
Max@Math Revolution posted a reply to What is the difference between the sum of all even integers in the Problem Solving forum
“=> ( 52 + 54 + … + 100 ) – ( 2 + 4 + … + 50 ) = ( 52 – 2 ) + ( 54 – 4 ) + … + ( 100 – 50 ) = 50 + 50 + … + 50 = 50 * 25 = 1250. Therefore, the answer is A. Answer: A”
January 11, 2019
Max@Math Revolution posted a new topic called In the xy-plane, a circle has center (0,0) and radius 5. Is in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] In the xy-plane, a circle has center (0,0) and radius 5. Is the point (r,s) inside or on the circle? 1) -3 < r < 3 2) -4 < s < 4”
January 11, 2019
Max@Math Revolution posted a reply to If x and y are positive, is x > y? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
January 11, 2019
Max@Math Revolution posted a new topic called (7+43+7-43)^2 is equal to which of the following? in the Problem Solving forum
“$$\left(\sqrt{7+4\sqrt{3}}+\sqrt{7-4\sqrt{3}}\right)^2$$ is equal to which of the following? A. 32 B. 30 C. 24 D. 16 E. 12”
January 10, 2019
Max@Math Revolution posted a reply to x is a positive integer, and the units digits of both (x+2)^ in the Problem Solving forum
“=> Since x is a positive integer and the units digits of both (x+2)^2 and (x-2)^2 are 9, the units digits of x+2 and x-2 must be 7 and 3, respectively. Thus, the units digit of x is 5. Therefore, the answer is C. Answer: C ”
January 10, 2019
Max@Math Revolution posted a new topic called x, y and z are the sides of the triangle shown and h is its in the Data Sufficiency forum
“https://i.postimg.cc/CBG3d0W7/1-10.png”
January 10, 2019
Max@Math Revolution posted a reply to If x is integer and 3 | x |+x < 4, what is the value of x in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
January 10, 2019
Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum
“To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...”
January 10, 2019
Max@Math Revolution posted a new topic called What is the difference between the sum of all even integers in the Problem Solving forum
“[Math Revolution GMAT math practice question] What is the difference between the sum of all even integers between 51 and 100 (inclusive) and the sum of all even integers between 1 and 50 (inclusive)? A. 1,250 B. 2,000 C. 2,500 D. 3,750 E. 5,000”
January 9, 2019
Max@Math Revolution posted a reply to If f(a*b) = f(a) + f(b), what is the value of f(1)? in the Problem Solving forum
“=> Since 1 = 1 * 1, setting a = 1 and b = 1 yields f(1) = f(1*1) = f(1) + f(1) and f(1) = 2f(1), which is equivalent to f(1) = 0. Therefore, the answer is C. Answer: C”
January 9, 2019
Max@Math Revolution posted a new topic called If x and y are positive, is x > y? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If x and y are positive, is x > y? 1) 2x > 3y 2) -5x < -7y”
January 9, 2019
Max@Math Revolution posted a reply to If x ≠ y, what is the value of ( x^2y – xy^2 ) / ( x^3 in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
January 9, 2019
Max@Math Revolution posted a new topic called x is a positive integer, and the units digits of both (x+2)^ in the Problem Solving forum
“[Math Revolution GMAT math practice question] x is a positive integer, and the units digits of both (x+2)^2 and (x-2)^2 are 9. What is the units digit of x？ A. 1 B. 3 C. 5 D. 7 E. 9”
January 8, 2019
Max@Math Revolution posted a new topic called If x is integer and 3 | x |+x < 4, what is the value of x? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If x is integer and 3 | x |+x < 4, what is the value of x? 1) x < 0 2) x > -2”
January 8, 2019
Max@Math Revolution posted a new topic called If f(a*b) = f(a) + f(b), what is the value of f(1)? in the Problem Solving forum
“[Math Revolution GMAT math practice question] If f(a*b) = f(a) + f(b), what is the value of f(1)? A. 1 B. -1 C. 0 D. 2 E. -2”
January 7, 2019
Max@Math Revolution posted a new topic called If x ≠ y, what is the value of ( x^2y – xy^2 ) / ( x^3 – y^3 in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If x ≠ y, what is the value of ( x^2y – xy^2 ) / ( x^3 – y^3 )? 1) xy / ( x^2 + xy + y^2) = 1/3 2) x^2y^2=9”
January 7, 2019
Max@Math Revolution posted a reply to In a sports club, 6 players are divided into 3 teams of 2 pl in the Problem Solving forum
“=> Since we need to choose 2 players out of 6 players for the first team, choose 2 players out of 4 players for the second team and choose 2 players out of 2 players for the last team, the number of possible choices, in this order is 6C2*4C2*2C2. Since the order in which the three teams is ...”
January 7, 2019
Max@Math Revolution posted a reply to If 4+ 1n = 55n, what is the value of n? in the Problem Solving forum
“=> $$\sqrt{4+\frac{1}{n}}=5\sqrt{\frac{5}{n}}$$ $$\sqrt{\frac{4n+1}{n}}=5\sqrt{\frac{5}{n}}$$ $$\frac{4n+1}{n}=25\left(\frac{5}{n}\right)$$ $$\frac{4n+1}{n}=\frac{125}{n}$$ $$4n+1=125$$ $$4n=124$$ $$n=31$$ Therefore, the answer is A. Answer: A”
January 7, 2019
Max@Math Revolution posted a reply to Is x/y < 0? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The ...”
January 7, 2019
Max@Math Revolution posted a reply to Is x/y < 0? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
January 7, 2019
Max@Math Revolution posted a new topic called In a sports club, 6 players are divided into 3 teams of 2 pl in the Problem Solving forum
“[Math Revolution GMAT math practice question] In a sports club, 6 players are divided into 3 teams of 2 players. How many such arrangements are possible? A. 10 B. 15 C. 25 D. 30 E. 40”
January 4, 2019
Max@Math Revolution posted a reply to Which of the following could be the area of a regular hexago in the Problem Solving forum
“https://i.postimg.cc/DSx8z814/1-4.png => Let n be the side-length of a regular hexagon. Then the area of the shaded equilateral triangle is (√3/4)n^2 and the area of the regular hexagon is (6√3/4)n^2 = (3√3/2)n^2 . If n = 2, then (3√3/2)n^2 = (3√3/2)2^2 =6√3. None of the ...”
January 4, 2019
Max@Math Revolution posted a new topic called Is x/y < 0? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] Is x/y < 0? 1) x^4y^5 < 0 2) x^5y^3 < 0”
January 4, 2019
Max@Math Revolution posted a reply to Can n be expressed as the difference of 2 prime numbers? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
January 4, 2019
Max@Math Revolution posted a new topic called If 4+ 1n = 55n, what is the value of n? in the Problem Solving forum
“[Math Revolution GMAT math practice question] If $$\sqrt{4+\frac{1}{n}}=5\sqrt{\frac{5}{n}}$$ , what is the value of n? A. 31 B. 41 C. 51 D. 61 E. 71”
January 3, 2019
Max@Math Revolution posted a reply to If 2x+y=3 and 4x^2-4xy+y^2=1, what is the value of xy? in the Problem Solving forum
“=> Since 2x+y=3, (2x+y)^2 = 4x^2+4xy+y^2 =9. When we subtract 4x^2-4xy+y^2=1 from 4x^2+4xy+y^2 =9, we obtain (4x^2+4xy+y^2) - (4x^2-4xy+y^2) = 8xy = 9 - 1 = 8. So, xy = 1. Therefore, the answer is C. Answer: C”
January 3, 2019
Max@Math Revolution posted a new topic called Is x/y < 0? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] Is x/y < 0? 1) |x+y| < |x|+|y| 2) x+y < 0”
January 3, 2019
Max@Math Revolution posted a reply to What is the value of the integer n? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
January 3, 2019
Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum
“To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...”
January 3, 2019
Max@Math Revolution posted a new topic called Which of the following could be the area of a regular hexago in the Problem Solving forum
“[Math Revolution GMAT math practice question] Which of the following could be the area of a regular hexagon in which the length of the equal sides is an integer? A. √3/6 B. √3/5 C. √3/4 D. 6√3 E. 3√3/4”
January 2, 2019
Max@Math Revolution posted a reply to (x^8y^2+x^2y^8)/(x^2+y^2)=? in the Problem Solving forum
“=> (x^8y^2+x^2y^8)/(x^2+y^2)= x^2y^2(x^6+y^6)/(x^2+y^2)= x^2y^2(x^2+y^2)(x^4-x^2y^2+y^4)/(x^2+y^2)= x^2y^2 (x^4-x^2y^2+y^4), using the identity a^3+b^3 = (a+b)(a^2-ab+b^2). Therefore, the answer is A. Answer: A”
January 2, 2019
Max@Math Revolution posted a new topic called Can n be expressed as the difference of 2 prime numbers? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] Can n be expressed as the difference of 2 prime numbers? 1) (n-17)(n-21) = 0 2) (n-15)(n-17)=0”
January 2, 2019
Max@Math Revolution posted a reply to Is √(x+1)^2=x+1 ? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
January 2, 2019
Max@Math Revolution posted a new topic called If 2x+y=3 and 4x^2-4xy+y^2=1, what is the value of xy? in the Problem Solving forum
“[Math Revolution GMAT math practice question] If 2x+y=3 and 4x^2-4xy+y^2=1, what is the value of xy? A. 1/8 B. 1/2 C. 1 D. 2 E. 4”
January 1, 2019
Max@Math Revolution posted a new topic called What is the value of the integer n? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] What is the value of the integer n? 1) n is a prime factor of 21 2) n is a factor of 49”
January 1, 2019
Max@Math Revolution posted a new topic called (x^8y^2+x^2y^8)/(x^2+y^2)=? in the Problem Solving forum
“[Math Revolution GMAT math practice question] (x^8y^2+x^2y^8)/(x^2+y^2)=? A. x^2y^2(x^4-x^2y^2+y^4) B. x^2y(x^4+x^2y^2+y^4) C. x^2y^2(x^2+y^2) D. x^2y^2(x+y) E. x^4y^4(x^2-y^2)”
December 31, 2018
Max@Math Revolution posted a new topic called Is √(x+1)^2=x+1 ? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] Is $$\sqrt{\left(x+1\right)^2}=x+1$$ ? 1) x(x-2) = 0 2) x(x+2) = 0”
December 31, 2018
Max@Math Revolution posted a reply to If f(x)=1-(1/x), then f(f(f(x)))=? in the Problem Solving forum
“=> f(x) = 1 – 1/x = (x-1)/x f(f(x)) = 1 – 1/f(x) = 1 – x/(x-1) = (x-1-x)/(x-1) = - 1/(x-1) f(f(f(x))) = 1 – 1/f(f(x)) = 1 – ( - (x-1)) = 1 + x – 1 = x Therefore, the answer is A. Answer: A”
December 31, 2018
Max@Math Revolution posted a reply to If x^2+y^2=2xy, then (x+y)/(2x-y)=? in the Problem Solving forum
“=> x^2+y^2=2xy => x^2+y^2-2xy=0 => (x-y)^2 = 0 => x = y (x+y)/(2x-y)= (x+x) / (2x-y) = 2x/x = 2, since x =y. Therefore, the answer is E. Answer: E ”
December 31, 2018
Max@Math Revolution posted a reply to In the xy-coordinate plane, does y=a(x-h)^2+k intersect the in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
December 31, 2018
Max@Math Revolution posted a reply to If m and n are positive integers, is 3^{4m+2}+n divisible b in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
December 31, 2018
Max@Math Revolution posted a new topic called If f(x)=1-(1/x), then f(f(f(x)))=? in the Problem Solving forum
“[Math Revolution GMAT math practice question] If f(x)=1-(1/x), then f(f(f(x)))=? A. x B. 1/x C. 1/x+1 D. -1/x+1 E. x/x+1”
December 28, 2018
Max@Math Revolution posted a reply to If a certain coin is flipped, it has probability 1/2 of land in the Problem Solving forum
“=> The complementary case is the event with all heads, which has probability (1/2)^4. The probability of at least one tail is 1 – (1/2)^4 = 1 – 1/16 = 15/16. Therefore, the answer is E. Answer: E”
December 28, 2018
Max@Math Revolution posted a new topic called In the xy-coordinate plane, does y=a(x-h)^2+k intersect the in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] In the xy-coordinate plane, does y=a(x-h)^2+k intersect the x-axis? 1) h=1 2) k=2”
December 28, 2018
Max@Math Revolution posted a reply to If m and n are positive integers, is m + n an odd number? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
December 28, 2018
Max@Math Revolution posted a new topic called If x^2+y^2=2xy, then (x+y)/(2x-y)=? in the Problem Solving forum
“[Math Revolution GMAT math practice question] If x^2+y^2=2xy, then (x+y)/(2x-y)=? A. -2 B. -1 C. 0 D. 1 E. 2”
December 27, 2018
Max@Math Revolution posted a reply to If x^2+y^2=28 and xy=11, what is the value of (x+y)^2? in the Problem Solving forum
“=> (x+y)^2 = x^2 + 2xy + y^2 = x^2 + y^2 + 2xy = 28 + 2*11 = 28 + 22 = 50. Therefore, the answer is C. Answer: C”
December 27, 2018
Max@Math Revolution posted a new topic called If m and n are positive integers, is 3^{4m+2}+n divisible b in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If m and n are positive integers, is 3^{4m+2}+n divisible by 5? 1) m=3 2) n=1”
December 27, 2018
Max@Math Revolution posted a reply to If n is a positive integer, is in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
December 27, 2018
Max@Math Revolution posted a new topic called If a certain coin is flipped, it has probability 1/2 of land in the Problem Solving forum
“[Math Revolution GMAT math practice question] If a certain coin is flipped, it has probability 1/2 of landing on heads and probability 1/2 of landing on tails. If the coin is flipped 4 times, what is the probability that it will land on tails at least once? A. 3/8 B. 1/4 ...”
December 26, 2018
Max@Math Revolution posted a reply to If 0 < x < 2 and 0 < y < 2 on the xy-plane, what in the Problem Solving forum
“=> https://i.postimg.cc/KRTTYwRc/12-26.png The outside square contains all points satisfying 0 < x < 2 and 0 < y < 2. The shaded region consists of all points satisfying 0 < x < 2 and 0 < y < 2 such that x + y < 1. Its area is 1/2, and the area of the outside ...”
December 26, 2018
Max@Math Revolution posted a new topic called If m and n are positive integers, is m + n an odd number? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If m and n are positive integers, is m + n an odd number? 1) m/n is an even number 2) m or n is an even number”
December 26, 2018
Max@Math Revolution posted a reply to f(x) is the greatest prime factor of x. If n is a positive i in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
December 26, 2018
Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum
“To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...”
December 26, 2018
Max@Math Revolution posted a new topic called If x^2+y^2=28 and xy=11, what is the value of (x+y)^2? in the Problem Solving forum
“[Math Revolution GMAT math practice question] If x^2+y^2=28 and xy=11, what is the value of (x+y)^2? A. 28 B. 39 C. 50 D. 61 E. 72”
December 25, 2018
Max@Math Revolution posted a new topic called If n is a positive integer, is in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If n is a positive integer, is $$\sqrt{n+1}$$ an even integer? 1) n is the product of 2 consecutive odd numbers 2) n is an odd number”
December 25, 2018
Max@Math Revolution posted a reply to (0.0004)(0.000005)/200,000 is equal to which of the followin in the Problem Solving forum
“You are right. The solution and choices are fixed. Thank you for your comments.”
December 24, 2018
Max@Math Revolution posted a new topic called If 0 < x < 2 and 0 < y < 2 on the xy-plane, what is the prob in the Problem Solving forum
“[Math Revolution GMAT math practice question] If 0 < x < 2 and 0 < y < 2 on the xy-plane, what is the probability that x+y < 1? A. 1/2 B. 1/4 C. 1/6 D. 1/8 E. 1/10”
December 24, 2018
Max@Math Revolution posted a new topic called f(x) is the greatest prime factor of x. If n is a positive i in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] f(x) is the greatest prime factor of x. If n is a positive integer less than 10, what is the value of n? 1) f(n) = f(1000) 2) f(n) = 5”
December 24, 2018
Max@Math Revolution posted a reply to 120 tickets are to be evenly distributed to n people. If n in the Problem Solving forum
“Hello, Fabio We edited thw solutions. Thanks.”
December 24, 2018
Max@Math Revolution posted a reply to What is the smallest integer n such that 2^8 is a factor of in the Problem Solving forum
“=> Since 2 = 2^1, 4 = 2^2, 6 = 2^1*3, 8 = 2^3, 10=2^1*5, the prime factorization of 10! = 1*2*3*…*10 has the form 28*m for some integer m, where m and 2 are relatively prime. Note that 9! = 2^7*k for some integer k, where k and 2 are relatively prime. Therefore, the answer is B. Answer: ...”
December 24, 2018
Max@Math Revolution posted a reply to 120 tickets are to be evenly distributed to n people. If n in the Problem Solving forum
“=> 120 = 2^3*3^1*5^1 or 120 = 8*15. Thus 15 is the greatest factor among choices. Therefore, the answer is E. Answer: E”
December 24, 2018
Max@Math Revolution posted a reply to n is a positive integer. Is n(n+1)(n+2)/4 an even integer? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
December 24, 2018
Max@Math Revolution posted a reply to Is |m-n|=|m|-|n| ? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
December 24, 2018
Max@Math Revolution posted a new topic called What is the smallest integer n such that 2^8 is a factor of in the Problem Solving forum
“[Math Revolution GMAT math practice question] What is the smallest integer n such that 2^8 is a factor of n!? A. 8 B. 10 C. 12 D. 14 E. 16”
December 21, 2018
Max@Math Revolution posted a reply to How many 4-digit numbers greater than 3,000 have the digits: in the Problem Solving forum
“=> We need to count the 4-digit numbers with thousands digits 3, 5 and 7. The number of 4-digit numbers beginning with 3 is 6. The number of 4-digit numbers beginning with 5 is 6. The number of 4-digit numbers beginning with 7 is 6. Thus, the total number of such 4-digit numbers is 18 = 6 ...”
December 21, 2018
Max@Math Revolution posted a new topic called n is a positive integer. Is n(n+1)(n+2)/4 an even integer? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] n is a positive integer. Is n(n+1)(n+2)/4 an even integer? 1) n is an even integer 2) 1238 ≤ n ≤ 1240”
December 21, 2018
Max@Math Revolution posted a reply to Is x/y>1? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
December 21, 2018
Max@Math Revolution posted a new topic called 120 tickets are to be evenly distributed to n people. If n in the Problem Solving forum
“[Math Revolution GMAT math practice question] 120 tickets are to be evenly distributed to n people. If n is greater than 1 and the number of tickets given to each person is greater than 1, what is the greatest possible value of n from choices? A. 9 B. 10 C. 12 ...”
December 20, 2018
Max@Math Revolution posted a reply to (0.0004)(0.000005)/200,000 is equal to which of the followin in the Problem Solving forum
“=> (0.0004)(0.000005)/200,000 = {4*5*(0.0001)(0.000001)}/{2*100,000} = (2*10^1*10^-4*10^-6)/ (2*10^5) = (10^-9)/(10^5) = 10^-14 Therefore, the answer is B. Answer: B”
December 20, 2018
Max@Math Revolution posted a new topic called Is |m-n|=|m|-|n| ? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] Is |m-n|=|m|-|n| ? 1) m-n = 0 2) n = 0”
December 20, 2018
Max@Math Revolution posted a reply to x and y are positive integers. Is y an even integer? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
December 20, 2018
Max@Math Revolution posted a new topic called How many 4-digit numbers greater than 3,000 have the digits: in the Problem Solving forum
“[Math Revolution GMAT math practice question] How many 4-digit numbers greater than 3,000 have the digits: 1, 3, 5, and 7? A. 6 B. 9 C. 12 D. 15 E. 18”
December 19, 2018
Max@Math Revolution posted a reply to In the coordinate plane, the y-intercept of the line k is eq in the Problem Solving forum
“=> The equation of line k has the form, y = mx + b, where m is the slope and b is the y-intercept. Let m be the slope of line k. Then b = 2m, and the equation is y = mx + 2m = m(x+2). The x-intercept of line k is -2, since -2 is a root of m(x+2)=0. Therefore, the answer is A. Answer: ...”
December 19, 2018
Max@Math Revolution posted a new topic called Is x/y>1? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] Is x/y>1? 1) x>y 2) x-y>1”
December 19, 2018
Max@Math Revolution posted a reply to [x] is the greatest integer less than or equal to x. <x&a in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. [ x ] is ...”
December 19, 2018
Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum
“To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...”
December 18, 2018
Max@Math Revolution posted a new topic called (0.0004)(0.000005)/200,000 is equal to which of the followin in the Problem Solving forum
“[Math Revolution GMAT math practice question] (0.0004)(0.000005)/200,000 is equal to which of the following? A. 10^-15 B. 10^-14 C. 10^-13 D. 10^-12 E. 10^-11”
December 18, 2018
Max@Math Revolution posted a new topic called x and y are positive integers. Is y an even integer? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] x and y are positive integers. Is y an even integer? 1) x^2+x=y+2 2) x = 2”
December 18, 2018
Max@Math Revolution posted a new topic called In the coordinate plane, the y-intercept of the line k is eq in the Problem Solving forum
“[Math Revolution GMAT math practice question] In the coordinate plane, the y-intercept of the line k is equal to twice its slope. The y-intercept is not 0. What is the x-intercept of the line k? A. -2 B. -1 C. 0 D. 1 E. 2”
December 17, 2018
Max@Math Revolution posted a new topic called [x] is the greatest integer less than or equal to x. <x> is in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] [x] is the greatest integer less than or equal to x. < x > is the least integer greater than or equal to x. What is the value of x? 1) [x] = 2 2) < x > = 2”
December 17, 2018
Max@Math Revolution posted a reply to Seven small circles of radius 2 are cut from the large circl in the Problem Solving forum
“=> https://i.postimg.cc/YGKPdjFr/12-17.png The radius of the large circle is 2*2 + 2 = 6. Thus, the area of the large circle is 6^2π = 36π, and the area of each of the seven small circles is 2^2π = 4π. Thus, the area of the shaded region is 36π – 7(4π) = 8π. Therefore, the ...”
December 17, 2018
Max@Math Revolution posted a reply to How many subsets of {1,2,3,4,5,6,7,8} contain at least one p in the Problem Solving forum
“=> It is easiest to use complementary counting. That is, count the number of subsets that contain no prime number and subtract it from the total number of subsets. The number of subsets containing no prime number is the number of subsets of { 1, 4, 6, 8 }. Note that 1 is neither a prime ...”
December 17, 2018
Max@Math Revolution posted a reply to When n is a positive integer, is n / 4 an integer? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
December 17, 2018
Max@Math Revolution posted a reply to If m and n are positive integers, is mn an even number? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
December 17, 2018
Max@Math Revolution posted a new topic called Seven small circles of radius 2 are cut from the large circl in the Problem Solving forum
“https://i.postimg.cc/6TkwQPCF/12-14.png A. 8 π B. 20 π C. 32 π D. 48 π E. 64 π”
December 14, 2018
Max@Math Revolution posted a reply to How many perfect squares lie between 2^4 and 2^8, inclusive? in the Problem Solving forum
“=> We need to count the number of integers n satisfying 2^4 ≤ n^2 ≤ 2^8 or 2^2 ≤ n ≤ 2^4. The number of integers satisfying 2^2 ≤ n ≤ 2^4 is 2^4 – 2^2 + 1 = 16 – 4 + 1 = 13. Therefore, the answer is B. Answer: B”
December 14, 2018
Max@Math Revolution posted a new topic called When n is a positive integer, is n / 4 an integer? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] When n is a positive integer, is n / 4 an integer? 1) n - 1 is not divisible by 2 2) n + 1 is not divisible by 2”
December 14, 2018
Max@Math Revolution posted a reply to If n is a positive integer, is in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Condition ...”
December 14, 2018
Max@Math Revolution posted a new topic called How many subsets of {1,2,3,4,5,6,7,8} contain at least one p in the Problem Solving forum
“[Math Revolution GMAT math practice question] How many subsets of {1,2,3,4,5,6,7,8} contain at least one prime number? A. 60 B. 120 C. 150 D. 180 E. 240”
December 13, 2018
Max@Math Revolution posted a reply to The quadrilateral ABCD is a square with sides of length 12. in the Problem Solving forum
“=> To find the area of the shaded quadrilateral, we need to subtract the areas of triangles ABE and BCF from the area of square ABCD. We can position the square in the xy-plane as shown in the diagram below. https://i.postimg.cc/kBnNMpJJ/12-13.png The equations of AC and BE are y ...”
December 13, 2018
Max@Math Revolution posted a new topic called If m and n are positive integers, is mn an even number? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If m and n are positive integers, is mn an even number? 1) m/n is an even number. 2) m + n is an even number.”
December 13, 2018
Max@Math Revolution posted a reply to If x and y are positive integers and in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
December 13, 2018
Max@Math Revolution posted a new topic called How many perfect squares lie between 2^4 and 2^8, inclusive? in the Problem Solving forum
“[Math Revolution GMAT math practice question] How many perfect squares lie between 2^4 and 2^8, inclusive? A. 12 B. 13 C. 15 D. 18 E. 20”
December 12, 2018
Max@Math Revolution posted a reply to What is the solution set of (1+|x|)(1+x) > 0? in the Problem Solving forum
“=> Since 1+|x| > 0, we can divide both sides of the inequality by 1 + |x| to obtain 1+x > 0 or x > -1. Therefore, the answer is A. Answer: A”
December 12, 2018
Max@Math Revolution posted a new topic called If n is a positive integer, is in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If n is a positive integer, is $$\sqrt{n+1}$$ an integer? 1) n is a multiple of 8 2) n is the product of 2 consecutive even numbers”
December 12, 2018
Max@Math Revolution posted a reply to [x] is the greatest integer less than or equal to x. What is in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. [x] is ...”
December 12, 2018
Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum
“To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...”
December 12, 2018
Max@Math Revolution posted a new topic called The quadrilateral ABCD is a square with sides of length 12. in the Problem Solving forum
“https://i.postimg.cc/p5Kw4Bv5/12-11.png A. 30 B. 45 C. 60 D. 75 E. 90”
December 11, 2018
Max@Math Revolution posted a new topic called If x and y are positive integers and in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If x and y are positive integers and $$y=\sqrt{5-x}$$ then y=? 1) x>1 2) y<2”
December 11, 2018
Max@Math Revolution posted a new topic called What is the solution set of (1+|x|)(1+x) > 0? in the Problem Solving forum
“[Math Revolution GMAT math practice question] What is the solution set of (1+|x|)(1+x) > 0? A. x > -1 B. x < -1 C. x < 0 D. x > 0 E. x > 1”
December 10, 2018
Max@Math Revolution posted a new topic called [x] is the greatest integer less than or equal to x. What is in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] [x] is the greatest integer less than or equal to x. What is the value of x? 1) [x] = 2 2) x is an integer”
December 10, 2018
Max@Math Revolution posted a reply to Which of the following equations is satisfied by x=1+√2? in the Problem Solving forum
“=> x=1+√2 => x – 1 = √2 => (x-1)^2 = (√2)^2 => x^2 – 2x + 1 = 2 => x^2 – 2x - 1 = 0. Therefore, the answer is A. Answer: A”
December 10, 2018
Max@Math Revolution posted a reply to Tom saved $10,000 at a constant compound interest rate of r in the Problem Solving forum “=> After 10 years, we have 10,000(1+r)^10 = 20,000 or (1+r)^10 = 2. So, after 30 years the balance is 10,000(1+r)^30 = 10,000((1+r)^10)^3= 10,000*2^3 =10,000*8 = 80,000. Therefore, the answer is E. Answer: E” December 10, 2018 Max@Math Revolution posted a reply to Is x > y? in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...” December 10, 2018 Max@Math Revolution posted a reply to If a and b are integers, is a-b an even number? in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...” December 10, 2018 Max@Math Revolution posted a new topic called Which of the following equations is satisfied by x=1+√2? in the Problem Solving forum “[Math Revolution GMAT math practice question] Which of the following equations is satisfied by x=1+√2? A. x^2 – 2x - 1 = 0 B. x^2 – 2x + 1 = 0 C. x^2 + 2x - 1 = 0 D. x^2 + 2x + 1 = 0 E. x^2 – x - 2 = 0” December 7, 2018 Max@Math Revolution posted a reply to A triangle is formed by connecting three randomly chosen ver in the Problem Solving forum “=> Since the hexagon has 6 vertices, and we need to choose 3 of them to form the vertices of the triangle, the total number of triangles that can be formed is 6C3 = 20. Note that only the following 2 triangles do not include an edge of the hexagon: https://i.postimg.cc/GHpkvPNg/12-7.png ...” December 7, 2018 Max@Math Revolution posted a new topic called Is x > y? in the Data Sufficiency forum “[Math Revolution GMAT math practice question] Is x > y? 1) x+y > 2 2) x^2 < 2y” December 7, 2018 Max@Math Revolution posted a reply to x is a positive number. What is the median of x, √x and x^ in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...” December 7, 2018 Max@Math Revolution posted a new topic called Tom saved$10,000 at a constant compound interest rate of r in the Problem Solving forum
“[Math Revolution GMAT math practice question] Tom saved $10,000 at a constant compound interest rate of r percent annually. After 10 years, the balance is double the principal. What will be the balance 30 years after the deposit? A.$30,000 B. $40,000 C.$50,000 D. $60,000 ...” December 6, 2018 Max@Math Revolution posted a reply to How many positive two-digit integers have a remainder of 1 w in the Problem Solving forum “=> Let x be a positive integer with these properties. Since x = 2p + 1 for some integer p, the possible values of x are x = 1, 3, 5, 7, … . Since x = 3q + 2 some integer q, the possible values of x are x = 2, 5, 8, 11, … . Since x = 5r + 4 for some integer 4, the possible values of x ...” December 6, 2018 Max@Math Revolution posted a new topic called If a and b are integers, is a-b an even number? in the Data Sufficiency forum “[Math Revolution GMAT math practice question] If a and b are integers, is a-b an even number? 1) a^2b^2 is an even number 2) a^2+2b^2 is an even number” December 6, 2018 Max@Math Revolution posted a reply to n is a positive integer. Is n divisible by 3? in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...” December 6, 2018 Max@Math Revolution posted a new topic called A triangle is formed by connecting three randomly chosen ver in the Problem Solving forum “[Math Revolution GMAT math practice question] A triangle is formed by connecting three randomly chosen vertices of a hexagon. What is the probability that at least one of the sides of the triangle is also a side of the hexagon? A. 4/5 B. 5/6 C. 7/8 D. 8/9 E. ...” December 5, 2018 Max@Math Revolution posted a reply to If n is a positive integer, which of the following could be in the Problem Solving forum “=> Recall that x^3 – y^3 = (x-y)(x^2+xy+y^2).’ Now, (n+1)^3 - n^3 = ( n + 1 – n ) ( (n+1)^2 + (n+1)n + n^2 ) = (n+1)^2 + (n+1)n + n2 = n^2 + 2n + 1 + n^2 + n + n2 = 3n^2 + 3n + 1 = 3n(n+1) + 1 Thus (n+1)^3 - n^3 has remainder 1 when it is divided by 3. 631 is the only answer ...” December 5, 2018 Max@Math Revolution posted a new topic called x is a positive number. What is the median of x, √x and x^2? in the Data Sufficiency forum “[Math Revolution GMAT math practice question] x is a positive number. What is the median of x, √x and x^2? 1) x^2=x 2) x^2+x+1=3x” December 5, 2018 Max@Math Revolution posted a reply to Is x + 1/x > 2? in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...” December 5, 2018 Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum “To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...” December 5, 2018 Max@Math Revolution posted a new topic called How many positive two-digit integers have a remainder of 1 w in the Problem Solving forum “[Math Revolution GMAT math practice question] How many positive two-digit integers have a remainder of 1 when divided by 2, a remainder of 2 when divided by 3, and a remainder of 4 when divided by 5? A. 1 B. 2 C. 3 D. 4 E. 5” December 4, 2018 Max@Math Revolution posted a new topic called n is a positive integer. Is n divisible by 3? in the Data Sufficiency forum “[Math Revolution GMAT math practice question] n is a positive integer. Is n divisible by 3? 1) 36/n is divisible by 3 2) 27/n is divisible by 3” December 4, 2018 Max@Math Revolution posted a new topic called If n is a positive integer, which of the following could be in the Problem Solving forum “[Math Revolution GMAT math practice question] If n is a positive integer, which of the following could be the value of (n+1)^3 - n^3? A. 629 B. 630 C. 631 D. 632 E. 633” December 3, 2018 Max@Math Revolution posted a new topic called Is x + 1/x > 2? in the Data Sufficiency forum “[Math Revolution GMAT math practice question] Is x + 1/x > 2? 1) x > 0 2) x ≠ 1” December 3, 2018 Max@Math Revolution posted a reply to If x^2=x+1, then x^4=? in the Problem Solving forum “=> x^4 = (x^2)^2 = (x+1)^2 = x^2 + 2x + 1 = (x + 1) + 2x + 1 = 3x + 2. Therefore, the answer is A. Answer: A” December 3, 2018 Max@Math Revolution posted a reply to The equation of a circle in the x-y coordinate plane is x^2 in the Problem Solving forum “=> We need to find all pairs of integers (a,b) such that a^2 + b^2 = 25. These are: (5,0), (4,3), (3,4), (0,5), (-3,4), (-4,3), (-5,0), (-4,-3), (-3,-4), (0,-5), (3,-4) and (4,-3). Thus, there are 12 such points that lie on the circle. Therefore, the answer is E. Answer: E” December 3, 2018 Max@Math Revolution posted a reply to If k is a positive integer and n=(k-1)k(k+1), is n a multipl in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...” December 3, 2018 Max@Math Revolution posted a reply to If m and n are positive integers, what is the greatest commo in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since two ...” December 3, 2018 Max@Math Revolution posted a new topic called If x^2=x+1, then x^4=? in the Problem Solving forum “[Math Revolution GMAT math practice question] If x^2=x+1, then x^4=? A. 3x+2 B. 3x-2 C. 2x+3 D. 2x-3 E. 3x+4” November 30, 2018 Max@Math Revolution posted a reply to A club has 10 members. One president and two vice-presidents in the Problem Solving forum “=> The number of ways to choose one president out of 10 people is 10C1 = 10. The number of ways to choose two vice-presidents out of the remaining 9 people is 9C2 = (9*8)/(1*2) = 36. Thus, the number of ways to choose one president and two vice-presidents out of 10 people is 10 * 36 = 360. ...” November 30, 2018 Max@Math Revolution posted a new topic called If k is a positive integer and n=(k-1)k(k+1), is n a multipl in the Data Sufficiency forum “[Math Revolution GMAT math practice question] If k is a positive integer and n=(k-1)k(k+1), is n a multiple of 8? 1) k is an odd number 2) k = 1” November 30, 2018 Max@Math Revolution posted a reply to If n is a positive integer, is √17n an integer? in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Modifying ...” November 30, 2018 Max@Math Revolution posted a new topic called The equation of a circle in the x-y coordinate plane is x^2 in the Problem Solving forum “[Math Revolution GMAT math practice question] The equation of a circle in the x-y coordinate plane is x^2+y^2=25. How many points of the form (a,b), where a and b are integers, lie on this circle? A. 4 B. 6 C. 8 D. 10 E. 12” November 29, 2018 Max@Math Revolution posted a reply to If 1+2+2^2+... +2^n=2^{n+1}-1, what is the largest prime fac in the Problem Solving forum “=> 1+2+2^2+... +2^7 = 2^8 – 1 = (2^4+1)(2^4-1) = (2^4+1)(2^2+1)(2^2-1) = (2^4+1)(2^2+1)(2+1)(2-1) = 17*5*3. 17 is the largest prime factor of 1+2+2^2+... +2^7. Therefore, D is the answer. Answer: D ” November 29, 2018 Max@Math Revolution posted a new topic called If m and n are positive integers, what is the greatest commo in the Data Sufficiency forum “[Math Revolution GMAT math practice question] If m and n are positive integers, what is the greatest common divisor of m and n? 1) m=n+1 2) m*n is divisible by 2” November 29, 2018 Max@Math Revolution posted a reply to In the x-y plane, line l passes through points (-1,-1) and ( in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...” November 29, 2018 Max@Math Revolution posted a new topic called A club has 10 members. One president and two vice-presidents in the Problem Solving forum “[Math Revolution GMAT math practice question] A club has 10 members. One president and two vice-presidents are elected. In how many ways can they be selected? A. 240 B. 280 C. 300 D. 320 E. 360” November 28, 2018 Max@Math Revolution posted a reply to Let A=2^50, B=3^30, and C=4^20. Which of the following is tr in the Problem Solving forum “=> A = 2^50 = (2^5)^10 = (32)^10 B = 3^30 = (3^3)^10 = (27)^10 C = 4^20 = (4^2)^10 = (16)^10 Thus, (16)^10 < (27)^10 < (32)^10 and C < B < A. Therefore, the answer is E. Answer: E” November 28, 2018 Max@Math Revolution posted a new topic called If n is a positive integer, is √17n an integer? in the Data Sufficiency forum “[Math Revolution GMAT math practice question] If n is a positive integer, is √17n an integer? 1) 68n is the square of an integer. 2) n/68 is the square of an integer.” November 28, 2018 Max@Math Revolution posted a reply to If x and y are positive integers, is √15xy an integer? in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...” November 28, 2018 Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum “To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...” November 28, 2018 Max@Math Revolution posted a new topic called If 1+2+2^2+... +2^n=2^{n+1}-1, what is the largest prime fac in the Problem Solving forum “[Math Revolution GMAT math practice question] If 1+2+2^2+... +2^n=2^{n+1}-1, what is the largest prime factor of 1+2+2^2+... +2^7? A. 3 B. 5 C. 13 D. 17 E. 19” November 27, 2018 Max@Math Revolution posted a new topic called In the x-y plane, line l passes through points (-1,-1) and ( in the Data Sufficiency forum “[Math Revolution GMAT math practice question] In the x-y plane, line l passes through points (-1,-1) and (3,k). What is the value of k? 1) The y-intercept of line l is 1 2) The slope of line l is 2” November 27, 2018 Max@Math Revolution posted a new topic called Let A=2^50, B=3^30, and C=4^20. Which of the following is tr in the Problem Solving forum “[Math Revolution GMAT math practice question] Let A=2^50, B=3^30, and C=4^20. Which of the following is true? A. A < B < C B. A < C < B C. B < A < C D. B < C < A E. C < B < A” November 26, 2018 Max@Math Revolution posted a new topic called If x and y are positive integers, is √15xy an integer? in the Data Sufficiency forum “[Math Revolution GMAT math practice question] If x and y are positive integers, is $$\sqrt{15xy}$$ an integer? 1) xy is a multiple of 15 2) x and y are prime numbers” November 26, 2018 Max@Math Revolution posted a reply to Find x^4 + 1/x^4 if x – 1/x = 2. in the Problem Solving forum “=> Now, 2^2=(x-1/x)^2 = x^2 - 2x(1/x) + 1/x^2 = x^2 + 1/x^2 – 2. Therefore, x^2 + 1/x^2 = 4+2=6. Squaring both sides gives 6^2=( x^2 + 1/x^2 )^2 = x^4 + 2x^2(1/x^2) + 1/x^4 = x^4 + 1/x^4 + 2. Thus, x^4 + 1/x^4 = 36-2=34. Therefore, the answer is D. Answer: D” November 26, 2018 Max@Math Revolution posted a reply to What is the sum of the prime factors of 2^8-1? in the Problem Solving forum “=> 2^8-1 = (2^4+1)(2^4-1) = (2^4+1)(2^2+1)(2^2-1) = (2^4+1)(2^2+1)(2+1)(2-1) = 17*5*3*1. Thus, the sum of prime factors of 2^8-1 is 17 + 5 + 3 = 25. Therefore, the answer is E. Answer: E” November 26, 2018 Max@Math Revolution posted a reply to Is x^3-4x>0？ in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...” November 26, 2018 Max@Math Revolution posted a reply to If x and y are positive, is 1<x<y? in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...” November 26, 2018 Max@Math Revolution posted a new topic called Find x^4 + 1/x^4 if x – 1/x = 2. in the Problem Solving forum “[Math Revolution GMAT math practice question] Find x^4 + 1/x^4 if x – 1/x = 2. A. 14 B. 17 C. 25 D. 34 E. 36” November 23, 2018 Max@Math Revolution posted a reply to Find the units digit of 3^{2018} - 2^{2018}. in the Problem Solving forum “=> The units digit is the remainder when 3^{2018} - 2^{2018} is divided by 10. The remainders when powers of 3 are divided by 10 are 3^1: 3, 3^2: 9, 3^3: 7, 3^4: 1, 3^5: 3, … So, the units digits of 3^n have period 4: they form the cycle 3 -> 9 -> 7 -> 1. Thus, ...” November 23, 2018 Max@Math Revolution posted a new topic called Is x^3-4x>0？ in the Data Sufficiency forum “[Math Revolution GMAT math practice question] Is x^3-4x>0？ 1) x > 2 2) x > -2” November 23, 2018 Max@Math Revolution posted a reply to If n is an integer greater than 1, what is the value of n? in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...” November 23, 2018 Max@Math Revolution posted a new topic called What is the sum of the prime factors of 2^8-1? in the Problem Solving forum “[Math Revolution GMAT math practice question] What is the sum of the prime factors of 2^8-1? A. 8 B. 16 C. 19 D. 22 E. 25” November 22, 2018 Max@Math Revolution posted a reply to A store sold 72 watches for$a2,34b, where a2,34b is a 5-dig in the Problem Solving forum
“=> Since a234b is a multiple of 72, a234b is a multiple of both 8 and 9. The last three digits 34b of a234b form a multiple of 8. So, we must have b = 4 since 344 is the only 3-digit multiple of 8 beginning with the digits, 34. Since a234b is a multiple of 9, a + 2 + 3 + 4 + b = a + 2 + 3 + ...”
November 22, 2018
Max@Math Revolution posted a new topic called If x and y are positive, is 1<x<y? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If x and y are positive, is 1 < x < y? 1) √x < x < y 2) 1 < √x < y”
November 22, 2018
Max@Math Revolution posted a reply to If p, q and r are prime, with p < q < r, p=? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
November 22, 2018
Max@Math Revolution posted a new topic called Find the units digit of 3^{2018} - 2^{2018}. in the Problem Solving forum
“[Math Revolution GMAT math practice question] Find the units digit of 3^{2018} - 2^{2018}. A. 1 B. 3 C. 5 D. 7 E. 9”
November 21, 2018
Max@Math Revolution posted a reply to What is the area of a regular hexagon with side-length 2? in the Problem Solving forum
“=> https://i.postimg.cc/zHbWSMq1/11-21.png The area of an equilateral triangle with side-length a is (√3/4)a^2. So, the area of an equilateral triangle with side-length 2 is (√3/4)2^2 = (√3/4)4 = √3. Thus, the area of a regular hexagon with side-length 2 is 6√3. Therefore, the ...”
November 21, 2018
Max@Math Revolution posted a new topic called If n is an integer greater than 1, what is the value of n? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If n is an integer greater than 1, what is the value of n? 1) n is a prime number 2) (n+2)/n is an integer”
November 21, 2018
Max@Math Revolution posted a reply to If n is an integer between 30 and 50 inclusive, what is the in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
November 21, 2018
Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum
“To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...”
November 21, 2018
Max@Math Revolution posted a new topic called A store sold 72 watches for $a2,34b, where a2,34b is a 5-dig in the Problem Solving forum “[Math Revolution GMAT math practice question] A store sold 72 watches for$a2,34b, where a2,34b is a 5-digit integer. What is the value of a + b? A. 5 B. 6 C. 7 D. 8 E. 9”
November 20, 2018
Max@Math Revolution posted a new topic called If p, q and r are prime, with p < q < r, p=? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If p, q and r are prime, with p < q < r, p=? 1) (pq)^3=216 2) (pr)^3=1000”
November 20, 2018
Max@Math Revolution posted a new topic called What is the area of a regular hexagon with side-length 2? in the Problem Solving forum
“[Math Revolution GMAT math practice question] What is the area of a regular hexagon with side-length 2? A. √2. B. √3. C. 2√2. D. 2√3 E. 6√3”
November 19, 2018
Max@Math Revolution posted a new topic called If n is an integer between 30 and 50 inclusive, what is the in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If n is an integer between 30 and 50 inclusive, what is the value of n? 1) When n is divided by 8, the remainder is 7 2) When n is divided by 16, the remainder is 7”
November 19, 2018
Max@Math Revolution posted a reply to If 1/x(x-1)+1/x(x+1)=1/(x+1)(x-1), what is the value of x? in the Problem Solving forum
“=> 1/x(x-1)+1/x(x+1)=1/(x+1)(x-1) => (x+1) + (x-1) = x, by multiplying both sides with x(x+1)(x-1) => 2x = x => x = 0. However, x = 0 is an erroneous solution since it gives both fractions on the right-hand side denominators of 0. Therefore, the answer is E. Answer: E”
November 19, 2018
Max@Math Revolution posted a reply to If xy : yz : zx = 1:2:3, then what is x : y : z ? in the Problem Solving forum
“=> xy : yz : zx = xyz/z : xyz/x: xyz/ y = 1/z : 1/x : 1/y = 1:2:3 => z : x : y = 1 : 1/2 : 1/3 = 6 : 3 : 2 => x : y : z = 3 : 2 : 6 Therefore, the answer is B. Answer: B”
November 19, 2018
Max@Math Revolution posted a reply to If f(x)=x^2 when x < 0 and f(x)=x when x ≥ 0, what is t in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
November 19, 2018
Max@Math Revolution posted a reply to Is the 5-digit positive integer abc000 divisible by 24? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
November 19, 2018
Max@Math Revolution posted a new topic called If 1/x(x-1)+1/x(x+1)=1/(x+1)(x-1), what is the value of x? in the Problem Solving forum
“[Math Revolution GMAT math practice question] If 1/x(x-1)+1/x(x+1)=1/(x+1)(x-1), what is the value of x? A. √2 B. √3 C. 0 D. 4 E. No solution”
November 16, 2018
Max@Math Revolution posted a reply to The range of set X is 9 and the range of set Y is 18. Which in the Problem Solving forum
“=> The range of a union is greater than or equal to the maximum of the ranges of the two sets. Thus, the range of the union of X and Y is greater than or equal to 18. Therefore, the answer is A. Answer: A”
November 16, 2018
Max@Math Revolution posted a new topic called If f(x)=x^2 when x < 0 and f(x)=x when x ≥ 0, what is the va in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If f(x)=x^2 when x < 0 and f(x)=x when x ≥ 0, what is the value of f(a)? 1) |a|=1 2) a^2-a = 0”
November 16, 2018
Max@Math Revolution posted a reply to Is |x|/x equal to -1? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
November 16, 2018
Max@Math Revolution posted a new topic called If xy : yz : zx = 1:2:3, then what is x : y : z ? in the Problem Solving forum
“[Math Revolution GMAT math practice question] If xy : yz : zx = 1:2:3, then what is x : y : z ? A. 2 : 3 : 6 B. 3 : 2 : 6 C. 6 : 2 : 3 D. 6 : 3 : 2 E. 3 : 6 : 2”
November 15, 2018
Max@Math Revolution posted a reply to If xy ≠ 0 and x^2+4y^2=4xy, (x+y)/(x-y)=? in the Problem Solving forum
“=> x^2+4y^2=4xy => x^2-4xy+4y^2=0 => (x-2y)^2=0 => x=2y Thus, (x+y)/(x-y) = (2y+y)/(2y-y) = 3y/y = 3. Therefore, E is the answer. Answer: E”
November 15, 2018
Max@Math Revolution posted a new topic called Is the 5-digit positive integer abc000 divisible by 24? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] Is the 5-digit positive integer abc000 divisible by 24? 1) The 3-digit integer abc is divisible by 8. 2) The 3-digit integer abc is divisible by 3.”
November 15, 2018
Max@Math Revolution posted a reply to When m and n are positive integers, is m!*n! an integer squa in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
November 15, 2018
Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum
“To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...”
November 15, 2018
Max@Math Revolution posted a new topic called The range of set X is 9 and the range of set Y is 18. Which in the Problem Solving forum
“[Math Revolution GMAT math practice question] The range of set X is 9 and the range of set Y is 18. Which of the following cannot be the range of the union of sets X and Y? A. 9 B. 18 C. 27 D. 36 E. 45”
November 14, 2018
Max@Math Revolution posted a reply to What is the area of a regular octagon with side-length 2? in the Problem Solving forum
“=> https://i.postimg.cc/k2MrtpM0/11-14.png The above figure shows that the octagon can be divided up into one square of side-length 2, 4 rectangles of side-lengths 2 and √2, and 4 right-angled isosceles triangles with equal sides of length √2. Thus its area is the sum of the areas of ...”
November 14, 2018
Max@Math Revolution posted a new topic called Is |x|/x equal to -1? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] Is |x|/x equal to -1? 1) x>0 2) x<1”
November 14, 2018
Max@Math Revolution posted a reply to What is the value of f(10)? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. When asked ...”
November 14, 2018
Max@Math Revolution posted a new topic called If xy ≠ 0 and x^2+4y^2=4xy, (x+y)/(x-y)=? in the Problem Solving forum
“[Math Revolution GMAT math practice question] If xy ≠ 0 and x^2+4y^2=4xy, (x+y)/(x-y)=? A. 1 B. √2 C. √3 D. 2 E. 3”
November 13, 2018
Max@Math Revolution posted a new topic called When m and n are positive integers, is m!*n! an integer squa in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] When m and n are positive integers, is m!*n! an integer squared? 1) m = n + 1 2) m is an integer squared”
November 13, 2018
Max@Math Revolution posted a new topic called What is the area of a regular octagon with side-length 2? in the Problem Solving forum
“[Math Revolution GMAT math practice question] What is the area of a regular octagon with side-length 2? A. 4 + 4 √2. B. 8 + 8 √2. C. 16 + 16 √2. D. 16 E. 32”
November 12, 2018
Max@Math Revolution posted a new topic called What is the value of f(10)? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] What is the value of f(10)? 1) f(x) = 2 for 0 ≤ x < 3 2) f(x+3) = 2f(x)”
November 12, 2018
Max@Math Revolution posted a reply to If a cube A’s volume is 216 times of a cube B’s, the cub in the Problem Solving forum
“=> If the proportion between sides of cubes is a:b, the proportion between surface areas is a^2 : b^2 and the proportion between volumes is a^3 : b^3. Since 216 = 63, the proportion is 216 : 1 = 6^3 : 1. Thus the surface area of the cube A to that of the cube B is 6^2 : 1 = 36 : 1 Therefore, ...”
November 12, 2018
Max@Math Revolution posted a reply to Which of the following are roots of an equation 10x^{-2}+x^{ in the Problem Solving forum
“=> 10x^{-2}+x^{-1}-21=0 => 10+x-21x^2=0 by multiplying x^2 => 21x^2-x-10=0 by multiplying (-1) => (3x+2)(7x-5)=0 => x = -2/3 or x = 5/7 Therefore, the answer is A. Answer: A ”
November 12, 2018
Max@Math Revolution posted a reply to If n is contained in the set A, n+5 is contained in set A. I in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
November 12, 2018
Max@Math Revolution posted a reply to What is the units digit of a positive integer n? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
November 12, 2018
Max@Math Revolution posted a new topic called If a cube A’s volume is 216 times of a cube B’s, the cube A’ in the Problem Solving forum
“[Math Revolution GMAT math practice question] If a cube A’s volume is 216 times of a cube B’s, the cube A’s surface area is how many times of the cube B’s? A. 4 B. 8 C. 16 D. 25 E. 36”
November 9, 2018
Max@Math Revolution posted a reply to A car and a bicycle traveled in the same direction along the in the Problem Solving forum
“=> Since the car travelled for 15 minutes with the speed 40 mph, it moved 10 miles. It take 20 minutes the bicycle to travel 10 miles with the speed 30 mph. Therefore, the answer is B. Answer: B”
November 9, 2018
Max@Math Revolution posted a new topic called If n is contained in the set A, n+5 is contained in set A. I in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If n is contained in the set A, n+5 is contained in set A. Is 50 contained in set A? 1) 30 is contained in the set A. 2) 100 is contained in the set S”
November 9, 2018
Max@Math Revolution posted a reply to Machine A takes 20 minutes and B takes 15 minutes to warm up in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
November 9, 2018
Max@Math Revolution posted a new topic called Which of the following are roots of an equation 10x^{-2}+x^{ in the Problem Solving forum
“[Math Revolution GMAT math practice question] Which of the following are roots of an equation 10x^{-2}+x^{-1}-21=0 A. -2/3 or 5/7 B. -2/3 or 7/5 C. 2/3 or -5/7 D. 2/3 or -7/5 E. 3/2 or 5/7”
November 8, 2018
Max@Math Revolution posted a reply to [x] is the greatest integer less than or equal x, what is th in the Problem Solving forum
“=> Since 5 = √25 < √30 < √36 = 6, we have [√30] = 5. Since 6 = √36 < √40 < √49 = 7, we have [√40] = 6 Since 7 = √49 < √50 < √64 = 8, we have [√50] = 7 Thus [√30]+[√40]+[√50] = 18. Therefore, D is the answer. Answer: D”
November 8, 2018
Max@Math Revolution posted a new topic called What is the units digit of a positive integer n? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] What is the units digit of a positive integer n? 1) n is a common multiple of 13 and 14. 2) n is a common multiple of 13 and 15.”
November 8, 2018
Max@Math Revolution posted a reply to What is the value of A? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
November 8, 2018
Max@Math Revolution posted a new topic called A car and a bicycle traveled in the same direction along the in the Problem Solving forum
“[Math Revolution GMAT math practice question] A car and a bicycle traveled in the same direction along the equal route at their constant speed rates of 40 miles per hour and 30 miles per hour, respectively. After 15 minutes the car passed the bicycle, the car reaches a waiting point, how long it ...”
November 7, 2018
Max@Math Revolution posted a reply to | 1 - | 2 - | 3 - | 4 – π | | | | in the Problem Solving forum
“=> | 1 - | 2 - | 3 - | 4 – π | | | | = | 1 - | 2 - | 3 – ( 4 – π ) | | | = | 1 - | 2 - | π - 1 | | | = | 1 - | 2 – ( π - 1 ) | | = | 1 - | 3 – π | | = | 1 – ( π - 3 ) | = | 4 – π | = 4 – π Therefore, the answer is E. Answer: E”
November 7, 2018
Max@Math Revolution posted a new topic called Machine A takes 20 minutes and B takes 15 minutes to warm up in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] Machine A takes 20 minutes and B takes 15 minutes to warm up. The machine A produces 300 pins per 1 minute and the machine B produces 200 parts per 1 minute. Including the time for warming up, is the number of pins produced by machine A smaller than ...”
November 7, 2018
Max@Math Revolution posted a reply to Is x^2>xy? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
November 7, 2018
Max@Math Revolution posted a new topic called [x] is the greatest integer less than or equal x, what is th in the Problem Solving forum
“[Math Revolution GMAT math practice question] [x] is the greatest integer less than or equal x, what is the value of [√30]+[√40]+[√50]? A. 12 B. 15 C. 16 D. 18 E. 20”
November 6, 2018
Max@Math Revolution posted a new topic called What is the value of A? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] What is the value of A? 1) The four-digit number A77A is a multiple of 4. 2) The four-digit number A77A is a multiple of 9.”
November 6, 2018
Max@Math Revolution posted a new topic called | 1 - | 2 - | 3 - | 4 – π | | | | in the Problem Solving forum
“[Math Revolution GMAT math practice question] | 1 - | 2 - | 3 - | 4 – π | | | | A. π B. π - 1 C. π - 2 D. π - 3 E. 4 - π”
November 5, 2018
Max@Math Revolution posted a new topic called Is x^2>xy? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] Is x^2>xy? 1) x>y 2) y>0”
November 5, 2018
Max@Math Revolution posted a reply to If 1/3 = 1/m + 1/n, where m and n are different positive int in the Problem Solving forum
“=> 1/3 = 1/m + 1/n => mn = 3n + 3m => mn – 3m – 3n = 0 => mn – 3m – 3n + 9 = 9 => (m – 3)(n – 3) = 9 The possible pairs of values (m-3, n-3) giving a product of 9 are (1,9), (9,1) and (3,3). Case 1: m – 3 = 1, n – 3 = 9. We have m = 4, n = 12 and m + n = ...”
November 5, 2018
Max@Math Revolution posted a reply to The four-digit number 486X, where X is the units digit of 48 in the Problem Solving forum
“=> Since X is a one-digit integer, 0 ≤ X ≤ 9. 36 = 4*9, so 486X is a multiple of both 4 and 9. Since 486X is a multiple of 4, 6*10 + X must be a multiple of 4. Thus, X is one of values 0, 4 and 8. In addition, since 486X is a multiple of 9, the sum of all of its digits, 4 + 8 + 6 + ...”
November 5, 2018
Max@Math Revolution posted a reply to If the average (arithmetic mean) of p, q, and r is 6, what i in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
November 5, 2018
Max@Math Revolution posted a reply to When a positive integer n is divided by 19, what is the rema in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
November 5, 2018
Max@Math Revolution posted a new topic called If 1/3 = 1/m + 1/n, where m and n are different positive int in the Problem Solving forum
“[Math Revolution GMAT math practice question] If 1/3 = 1/m + 1/n, where m and n are different positive integers, what is the value of m+n? A. 9 B. 12 C. 16 D. 18 E. 20”
November 2, 2018
Max@Math Revolution posted a reply to 3, 6, 9, 12, … are multiples of 3. How many multiples of 3 in the Problem Solving forum
“=> 12 is the smallest multiple of 3 and 198 is the largest multiple of 3 between 10 and 200, inclusive. Thus, the number of multiples of 3 between 10 and 200, inclusive is ( 198 – 12 ) / 3 + 1 = 186/3 + 1 = 62 + 1 = 63 Therefore, the answer is D. Answer: D”
November 2, 2018
Max@Math Revolution posted a new topic called If the average (arithmetic mean) of p, q, and r is 6, what i in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If the average (arithmetic mean) of p, q, and r is 6, what is the value of r? 1) p=-r 2) p=-q”
November 2, 2018
Max@Math Revolution posted a reply to If m and n are integers, is m+m^2-n an even number? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
November 2, 2018
Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum
“To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...”
November 2, 2018
Max@Math Revolution posted a new topic called The four-digit number 486X, where X is the units digit of 48 in the Problem Solving forum
“[Math Revolution GMAT math practice question] The four-digit number 486X, where X is the units digit of 486X, is a multiple of 36. What is the value of X? A. 0 B. 2 C. 4 D. 6 E. 8”
November 1, 2018
Max@Math Revolution posted a reply to m and n are two different numbers selected from the integer in the Problem Solving forum
“=> To obtain the maximum value for mn/(m-n), m-n must be the smallest possible positive number and mn must be the largest possible product. mn is largest when both m and n are largest, that is, when m = 20 and n – 19. In this case, m – n = 1 is as small as possible and mn = 20*19 = 380 ...”
November 1, 2018
Max@Math Revolution posted a new topic called When a positive integer n is divided by 19, what is the rema in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] When a positive integer n is divided by 19, what is the remainder? 1) n-17 is a multiple of 19 2) n-19 is a multiple of 17”
November 1, 2018
Max@Math Revolution posted a reply to The terms of a sequence are defined by an=an-2+3. Is 411 a t in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
November 1, 2018
Max@Math Revolution posted a new topic called 3, 6, 9, 12, … are multiples of 3. How many multiples of 3 in the Problem Solving forum
“[Math Revolution GMAT math practice question] 3, 6, 9, 12, … are multiples of 3. How many multiples of 3 lie between 10 and 200, inclusive? A. 54 B. 57 C. 60 D. 63 E. 66”
October 31, 2018
Max@Math Revolution posted a reply to A set of pencils can be evenly shared between 2, 3, 4, 5 and in the Problem Solving forum
“=> The smallest possible number of pencils must be the least common multiple of 2, 3, 4, 5 and 6. 2 = 2^1, 3 = 3^1, 4 = 2^2, 5 = 5^1 and 6 = 2^1*3^1. We multiply the maximum powers of each base to obtain the least common multiple 2^2*3^1*5^1 = 60. Therefore, the answer is E. Answer: E”
October 31, 2018
Max@Math Revolution posted a new topic called If m and n are integers, is m+m^2-n an even number? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If m and n are integers, is m+m^2-n an even number? 1) m is an even number 2) n is an even number”
October 31, 2018
Max@Math Revolution posted a reply to (x^2-3x+2)(y^2-5y+6)=? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
October 31, 2018
Max@Math Revolution posted a new topic called m and n are two different numbers selected from the integer in the Problem Solving forum
“[Math Revolution GMAT math practice question] m and n are two different numbers selected from the integers between 11 and 20, inclusive. What is the maximum value of mn / (m-n)? A. 320 B. 340 C. 360 D. 380 E. 400”
October 31, 2018
Max@Math Revolution posted a new topic called The terms of a sequence are defined by an=an-2+3. Is 411 a t in the Data Sufficiency forum
“n=an-2+3. Is 411 a term of the sequence? 1) a1=111 2) a2=112”
October 31, 2018
Max@Math Revolution posted a new topic called A set of pencils can be evenly shared between 2, 3, 4, 5 and in the Problem Solving forum
“[Math Revolution GMAT math practice question] A set of pencils can be evenly shared between 2, 3, 4, 5 and 6 children with no pencils left over. What is the smallest possible number of pencils in the set? A. 6 B. 12 C. 15 D. 30 E. 60”
October 29, 2018
Max@Math Revolution posted a new topic called (x^2-3x+2)(y^2-5y+6)=? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] (x^2-3x+2)(y^2-5y+6)=? 1) x=1 2) y=1”
October 29, 2018
Max@Math Revolution posted a reply to x and y are non-negative integers. If xy+2x+3y=0, then y=? in the Problem Solving forum
“=> xy+2x+3y=0 => xy+2x+3y+6=6 => (x+3)(y+2)=6 Since x and y are integers, x+3 and y+2 are integers. The possible pairs (x+3,y+2) are as follows: ( x+3, y+2 ) = (1,6), (2,3), (3,2), (6,1), (-1,-6), (-2,-3), (-3,-2) and (-6,-1). The corresponding pairs (x,y) are: (x,y) = (-2,4), ...”
October 29, 2018
Max@Math Revolution posted a reply to If |x-6|=2x, then x=? in the Problem Solving forum
“=> |x-6|=2x => x-6 = ±2x => -6 = -x ±2x => -6 = x or -6 = -3x => x = -6 or x = 2 However, 2x = |x-6| ≥ 0. Thus, we have the unique solution x=2. Therefore, the answer is D. Answer: D”
October 29, 2018
Max@Math Revolution posted a reply to n is an integer. Is n(n+2) a multiple of 8? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
October 29, 2018
Max@Math Revolution posted a reply to If the average (arithmetic mean) of 5 numbers is 20, what is in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Note that ...”
October 29, 2018
Max@Math Revolution posted a new topic called x and y are non-negative integers. If xy+2x+3y=0, then y=? in the Problem Solving forum
“[Math Revolution GMAT math practice question] x and y are non-negative integers. If xy+2x+3y=0, then y=? A. 0 B. 1 C. 2 D. 3 E. 4”
October 26, 2018
Max@Math Revolution posted a reply to Suppose f(x)=ax^4+bx^2+1, where a and b are constants. If f( in the Problem Solving forum
“=> f(3) =a(3)^4 + b(3)^2 + 1 = 81a + 9b + 1 = 9 f(-3) =a(-3)^4 + b(-3)^2 + 1 = 81a + 9b + 1 = f(3) = 9 Therefore, the answer is E. Answer: E”
October 26, 2018
Max@Math Revolution posted a new topic called n is an integer. Is n(n+2) a multiple of 8? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] n is an integer. Is n(n+2) a multiple of 8? 1) n is an even integer 2) n is a multiple of 4”
October 26, 2018
Max@Math Revolution posted a reply to For integers m and n, the operation △ is defined by m△n in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
October 26, 2018
Max@Math Revolution posted a new topic called If |x-6|=2x, then x=? in the Problem Solving forum
“[Math Revolution GMAT math practice question] If |x-6|=2x, then x=? A. -6 B. -4 C. 0 D. 2 E. 6”
October 25, 2018
Max@Math Revolution posted a reply to The range of set A is 24 and the range of set B is 20. What in the Problem Solving forum
“=> Note that the range of the combined set can’t be less than the maximum of the ranges of the two sets. The maximum of the ranges of the two sets is 24. So, the range of the combined set must be greater than or equal to 24. For example, if A = {0, 24} and B = { 0, 20 }, the combined ...”
October 25, 2018
Max@Math Revolution posted a new topic called If the average (arithmetic mean) of 5 numbers is 20, what is in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If the average (arithmetic mean) of 5 numbers is 20, what is their standard deviation? 1) Their minimum is 20. 2) Their maximum is 20.”
October 25, 2018
Max@Math Revolution posted a reply to In the xy-plane, does the graph of y=ax^2+c intersect the x- in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
October 25, 2018
Max@Math Revolution posted a new topic called Suppose f(x)=ax^4+bx^2+1, where a and b are constants. If f( in the Problem Solving forum
“[Math Revolution GMAT math practice question] Suppose f(x)=ax^4+bx^2+1, where a and b are constants. If f(3)=9, what is the value of f(-3) ? A. -9 B. -3 C. 0 D. 3 E. 9”
October 24, 2018
Max@Math Revolution posted a reply to What is the number of roots of the equation (x^3-1)/(x^2+x+1 in the Problem Solving forum
“=> The original condition (x^3-1)/(x^2+x+1)=x is equivalent to x – 1 = x as shown below: (x^3-1)/(x^2+x+1)=x => (x-1) (x^2+x+1) / (x^2+x+1) = x by factoring => x – 1 = x But x – 1 = x has no solution. Therefore, the answer is E. Answer: E”
October 24, 2018
Max@Math Revolution posted a new topic called For integers m and n, the operation △ is defined by m△n = (m in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] For integers m and n, the operation $$\triangle$$ is defined by $$m\ \triangle\ n\ =\ \left(m-1\right)^2+\left(n+1\right)^2$$ What is the value of the integer x? $$\left(1\right)\ x\triangle1\ =4$$ $$\left(2\right)\ 1\triangle x=4$$”
October 24, 2018
Max@Math Revolution posted a reply to Is x^3-y^3 > x^2+xy+y^2? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
October 24, 2018
Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum
“To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...”
October 24, 2018
Max@Math Revolution posted a new topic called The range of set A is 24 and the range of set B is 20. What in the Problem Solving forum
“[Math Revolution GMAT math practice question] The range of set A is 24 and the range of set B is 20. What is the smallest possible range of sets A and B, combined? A. 20 B. 24 C. 40 D. 44 E. 48”
October 23, 2018
Max@Math Revolution posted a new topic called In the xy-plane, does the graph of y=ax^2+c intersect the x- in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] In the xy-plane, does the graph of y=ax^2+c intersect the x-axis? 1) a>0 2) c>0”
October 23, 2018
Max@Math Revolution posted a new topic called What is the number of roots of the equation (x^3-1)/(x^2+x+1 in the Problem Solving forum
“[Math Revolution GMAT math practice question] What is the number of roots of the equation (x^3-1)/(x^2+x+1)=x? A. 1 B. 2 C. 3 D. 4 E. no solution”
October 22, 2018
Max@Math Revolution posted a new topic called Is x^3-y^3 > x^2+xy+y^2? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] Is x^3-y^3 > x^2+xy+y^2? 1) x > y + 1 2) 0 < y < x”
October 22, 2018
Max@Math Revolution posted a reply to If -1<x<0, Which of the following is listed in ascendi in the Problem Solving forum
“=> We can find the correct order by plugging in a value for x. Suppose x = -1/2. Then -1 < x < 0, and x^2 = 1/4, x^-1 = -2 and x^-2 = 4. Thus, x^-1 < x < x^2 < 1 < x^-2 Therefore, the answer is A. Answer: A”
October 22, 2018
Max@Math Revolution posted a reply to If Sn=(Sn-1)-Sn-2, S1=1, and S2=2, then S6=? in the Problem Solving forum
“=> S3=(S2)^-S1=(2)^-1=1/2 S4=(S3)^-S2=(1/2)^-2=4 S5=(S4)^-S3=(4)^-1/2=1/2 S6=(S5)^-S4=(1/2)^-4=16 Therefore, the answer is E. Answer: E”
October 22, 2018
Max@Math Revolution posted a reply to Is 1+x+x^2+x^3+x^4+x^5+x^6 < 1/(1-x)? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
October 22, 2018
Max@Math Revolution posted a reply to If a and b are positive integers such that when a is divided in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
October 22, 2018
Max@Math Revolution posted a new topic called If -1<x<0, Which of the following is listed in ascending ord in the Problem Solving forum
“[Math Revolution GMAT math practice question] If -1<x<0, Which of the following is listed in ascending order? A. x^-1, x, x^2, 1, x^-2 B. x^-1, x^2, x, 1, x^-2 C. x^-2, x, x^2, 1, x^-1 D. x, x^-1, x^2, 1, x^-2 E. x^-1, x, x^2, x^-2, 1”
October 19, 2018
Max@Math Revolution posted a reply to If a rectangle’s length is a+b and its area is (1/a)+(1/b) in the Problem Solving forum
“=> Let x be the width of the rectangle. Then x(a+b) = 1/a + 1/b = (a+b)/ab. Thus, x = 1/ab. Therefore, the answer is E. Answer: E”
October 19, 2018
Max@Math Revolution posted a new topic called Is 1+x+x^2+x^3+x^4+x^5+x^6 < 1/(1-x)? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] Is 1+x+x^2+x^3+x^4+x^5+x^6 < 1/(1-x)? 1) x>0 2) x<1”
October 19, 2018
Max@Math Revolution posted a reply to If |X| is the number of elements in set X, and “∪” is in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
October 19, 2018
Max@Math Revolution posted a new topic called If Sn=(Sn-1)-Sn-2, S1=1, and S2=2, then S6=? in the Problem Solving forum
“n=(Sn-1)^{-Sn-2}, S1=1, and S2=2, then S6=? A. 1/2 B. 1/4 C. 2 D. 4 E. 16”
October 18, 2018
Max@Math Revolution posted a reply to (1-1/10)(1-1/11)(1-1/12)…(1-1/100) =? in the Problem Solving forum
“=> (1-1/10)(1-1/11)(1-1/12)…(1-1/100) = (9/10)(10/11)(11/12)…(99/100) = 9/100. Therefore, C is the answer. Answer: C ”
October 18, 2018
Max@Math Revolution posted a new topic called If a and b are positive integers such that when a is divided in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If a and b are positive integers such that when a is divided by b, the remainder is 10, what is the value of b? 1) b > 10 2) b < 12”
October 18, 2018
Max@Math Revolution posted a reply to Is the sum of 7 different positive integers greater than or in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
October 18, 2018
Max@Math Revolution posted a new topic called If a rectangle’s length is a+b and its area is (1/a)+(1/b), in the Problem Solving forum
“[Math Revolution GMAT math practice question] If a rectangle’s length is a+b and its area is (1/a)+(1/b), what is its width? A. 1 B. a+b C. ab D. 1/(a+b) E. 1/ab”
October 17, 2018
Max@Math Revolution posted a reply to If A={x| x^3 > 8}, B={x| 1 < x^3 < 64}, C={x| x^3 & in the Problem Solving forum
“=> A∩B∩C is the set of all numbers that are in all three of the sets A, B and C. So, A∩B∩C = { x | x^3 > 8 and 1 < x^3 < 64 and x^3 < 27} = { x | 8 < x^3 < 27} Therefore, the answer is E. Answer: E ”
October 17, 2018
Max@Math Revolution posted a new topic called If |X| is the number of elements in set X, and “∪” is the un in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If |X| is the number of elements in set X, and “∪” is the union and “∩” is the intersection of 2 sets, what is the value of |A∩B|? 1) |A∪B|＝50 2) |B|=40”
October 17, 2018
Max@Math Revolution posted a reply to If |x+1|=2|x-1|, x=? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
October 17, 2018
Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum
“To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...”
October 17, 2018
Max@Math Revolution posted a new topic called (1-1/10)(1-1/11)(1-1/12)…(1-1/100) =? in the Problem Solving forum
“[Math Revolution GMAT math practice question] (1-1/10)(1-1/11)(1-1/12)…(1-1/100) =? A. 1/10 B. 9/10 C. 9/100 D. 1/100 E. 9/50”
October 16, 2018
Max@Math Revolution posted a new topic called Is the sum of 7 different positive integers greater than or in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] Is the sum of 7 different positive integers greater than or equal to 48? 1) Their median is 9 2) The largest number is 12”
October 16, 2018
Max@Math Revolution posted a new topic called If A={x| x^3 > 8}, B={x| 1 < x^3 < 64}, C={x| x^3 < 27}, whi in the Problem Solving forum
“[Math Revolution GMAT math practice question] If A={x| x^3 > 8}, B={x| 1 < x^3 < 64}, C={x| x^3 < 27}, which inequality represents A∩B∩C? A. x^3 < 27 B. 1 < x^3 < 64 C. x^3 < 64 D. 1 < x^3 < 27 E. 8 < x^3 < 27”
October 15, 2018
Max@Math Revolution posted a new topic called If |x+1|=2|x-1|, x=? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If |x+1|=2|x-1|, x=? 1) x<1 2) x>0”
October 15, 2018
Max@Math Revolution posted a reply to If x+(1/x)=4, what is the value of x^2+(1/x^2)? in the Problem Solving forum
“=> Since (a+b)^2=a^2+b^2+2ab, a^2+b^2=(a+b)^2-2ab, and x^2 + 1/x^2 = ( x + 1/x )^2 – 2*x*(1/x) = 4^2 – 2 = 16 -2 = 14. Therefore, the answer is D. Answer: D”
October 15, 2018
Max@Math Revolution posted a reply to What is the solution of the equation (x-1)/(1-x) = 0? in the Problem Solving forum
“=> In order for a fraction to be zero, its numerator must be 0. This occurs when x = 1. However, if x = 1, then the denominator of this fraction is 0. Thus, 0 is an erroneous solution, and the equation has no solution. Therefore, the answer is E. Answer: E”
October 15, 2018
Max@Math Revolution posted a reply to When A and B are positive integers, is AB a multiple of 4? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
October 15, 2018
Max@Math Revolution posted a reply to The above figure shows a sector of a circle. What is the are in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. ...”
October 15, 2018
Max@Math Revolution posted a new topic called If x+(1/x)=4, what is the value of x^2+(1/x^2)? in the Problem Solving forum
“[Math Revolution GMAT math practice question] If x+(1/x)=4, what is the value of x^2+(1/x^2)? A. 4 B. 10 C. 12 D. 14 E. 16”
October 12, 2018
Max@Math Revolution posted a reply to If 2 numbers are selected from the first 8 prime numbers, wh in the Problem Solving forum
“=> In order for the sum to be even, both primes selected must be odd. As 2 is the only even prime number, the number of selections with an even sum is equal to the number of ways to select 2 numbers from these 7 odd prime numbers, or 7C2. The total number of selections of 2 prime numbers ...”
October 12, 2018
Max@Math Revolution posted a new topic called When A and B are positive integers, is AB a multiple of 4? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] When A and B are positive integers, is AB a multiple of 4? 1) The greatest common divisor of A and B is 6 2) The least common multiple of A and B is 30”
October 12, 2018
Max@Math Revolution posted a reply to If x=0.abcabc........(a repeating infinite decimal), what is in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
October 12, 2018
Max@Math Revolution posted a new topic called What is the solution of the equation (x-1)/(1-x) = 0? in the Problem Solving forum
“[Math Revolution GMAT math practice question] What is the solution of the equation (x-1)/(1-x) = 0? A. -1 B. 0 C. 1 D. 0 or 1 E. The equation has no solution.”
October 11, 2018
Max@Math Revolution posted a reply to The points (1,6) and (7,-2) are two vertices of one diagonal in the Problem Solving forum
“=> The length of the diagonal of the square is √{ (7-1)^2 + (6-(-2))^2 } = √100 = 10. The side-length of the square is 10/ √2 = 5 √2 since the side-length of a square is equal to the length of its diagonal divided by √2. Thus, the area of the square is (5 √2)^2 = 50. Therefore, ...”
October 11, 2018
Max@Math Revolution posted a new topic called The above figure shows a sector of a circle. What is the are in the Data Sufficiency forum
“https://i.postimg.cc/N9s6YHXC/11.11.png The above figure shows a sector of a circle. What is the area of the sector? 1) x = 120 2) AB=6√3”
October 11, 2018
Max@Math Revolution posted a reply to The terminal zeros of a number are the zeros to the right of in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
October 11, 2018
Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum
“To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...”
October 10, 2018
Max@Math Revolution posted a new topic called If 2 numbers are selected from the first 8 prime numbers, wh in the Problem Solving forum
“[Math Revolution GMAT math practice question] If 2 numbers are selected from the first 8 prime numbers, what is the probability that the sum of the 2 numbers selected is an even number? A. 1/2 B. 1/3 C. 2/3 D. 1/4 E. 3/4”
October 10, 2018
Max@Math Revolution posted a reply to What is the greatest prime factor of 1+2+3+….+36? in the Problem Solving forum
“=> Since 1 + 2 + 3 + … + n = n(n+1)/2, we have 1 + 2 + 3 + … + 36 = (36*37)/2 = 18*37 = 2*32*37. Thus, 37 is the greatest prime factor of 2*3^2*37. Therefore, the answer is E. Answer: E ”
October 10, 2018
Max@Math Revolution posted a new topic called If x=0.abcabc........(a repeating infinite decimal), what is in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If x=0.abcabc........(a repeating infinite decimal), what is the value of a+b+c? 1) 1-x=0.123123123……. 2) 0.8 < x < 0.9”
October 10, 2018